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Finding the Third Proportional to 239,720.77 and 516,802.78

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Solution

The third proportional to 239,720.77 and 516,802.78 is: 1,114,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,720.77 : 516,802.78 = 516,802.78 : x
  2. Step 2: Convert to fraction form
    239,720.77/516,802.78 = 516,802.78/x
  3. Step 3: Cross multiply
    239,720.77x = 516,802.78 × 516,802.78
  4. Step 4: Simplify right side
    239,720.77x = 267,085,114,707.74
  5. Step 5: Solve for x
    x = 267,085,114,707.74/239,720.77
  6. Step 6: Final answer
    x = 1,114,150.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.