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Finding the Third Proportional to 86,614.31 and 129,569.63

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Solution

The third proportional to 86,614.31 and 129,569.63 is: 193,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,614.31 : 129,569.63 = 129,569.63 : x
  2. Step 2: Convert to fraction form
    86,614.31/129,569.63 = 129,569.63/x
  3. Step 3: Cross multiply
    86,614.31x = 129,569.63 × 129,569.63
  4. Step 4: Simplify right side
    86,614.31x = 16,788,287,722.64
  5. Step 5: Solve for x
    x = 16,788,287,722.64/86,614.31
  6. Step 6: Final answer
    x = 193,828.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.