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Finding the Third Proportional to 138,532.78 and 185,929.17

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Solution

The third proportional to 138,532.78 and 185,929.17 is: 249,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,532.78 : 185,929.17 = 185,929.17 : x
  2. Step 2: Convert to fraction form
    138,532.78/185,929.17 = 185,929.17/x
  3. Step 3: Cross multiply
    138,532.78x = 185,929.17 × 185,929.17
  4. Step 4: Simplify right side
    138,532.78x = 34,569,656,954.12
  5. Step 5: Solve for x
    x = 34,569,656,954.12/138,532.78
  6. Step 6: Final answer
    x = 249,541.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.