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Finding the Third Proportional to 121,490.75 and 265,090.63

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Solution

The third proportional to 121,490.75 and 265,090.63 is: 578,422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,490.75 : 265,090.63 = 265,090.63 : x
  2. Step 2: Convert to fraction form
    121,490.75/265,090.63 = 265,090.63/x
  3. Step 3: Cross multiply
    121,490.75x = 265,090.63 × 265,090.63
  4. Step 4: Simplify right side
    121,490.75x = 70,273,039,462.89
  5. Step 5: Solve for x
    x = 70,273,039,462.89/121,490.75
  6. Step 6: Final answer
    x = 578,422.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.