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Finding the Third Proportional to 487,312 and 749,997

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Solution

The third proportional to 487,312 and 749,997 is: 1,154,282.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,312 : 749,997 = 749,997 : x
  2. Step 2: Convert to fraction form
    487,312/749,997 = 749,997/x
  3. Step 3: Cross multiply
    487,312x = 749,997 × 749,997
  4. Step 4: Simplify right side
    487,312x = 562,495,500,009
  5. Step 5: Solve for x
    x = 562,495,500,009/487,312
  6. Step 6: Final answer
    x = 1,154,282.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.