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Finding the Third Proportional to 102,519.42 and 138,010.08

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Solution

The third proportional to 102,519.42 and 138,010.08 is: 185,787.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,519.42 : 138,010.08 = 138,010.08 : x
  2. Step 2: Convert to fraction form
    102,519.42/138,010.08 = 138,010.08/x
  3. Step 3: Cross multiply
    102,519.42x = 138,010.08 × 138,010.08
  4. Step 4: Simplify right side
    102,519.42x = 19,046,781,664.07
  5. Step 5: Solve for x
    x = 19,046,781,664.07/102,519.42
  6. Step 6: Final answer
    x = 185,787.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.