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Finding the Third Proportional to 243,589,922,540 and 507,226,265,308

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Solution

The third proportional to 243,589,922,540 and 507,226,265,308 is: 1,056,195,106,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,589,922,540 : 507,226,265,308 = 507,226,265,308 : x
  2. Step 2: Convert to fraction form
    243,589,922,540/507,226,265,308 = 507,226,265,308/x
  3. Step 3: Cross multiply
    243,589,922,540x = 507,226,265,308 × 507,226,265,308
  4. Step 4: Simplify right side
    243,589,922,540x = 257,278,484,218,301,602,856,960
  5. Step 5: Solve for x
    x = 257,278,484,218,301,602,856,960/243,589,922,540
  6. Step 6: Final answer
    x = 1,056,195,106,659.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.