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Finding the Third Proportional to 85,728.38 and 121,753.13

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Solution

The third proportional to 85,728.38 and 121,753.13 is: 172,916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,728.38 : 121,753.13 = 121,753.13 : x
  2. Step 2: Convert to fraction form
    85,728.38/121,753.13 = 121,753.13/x
  3. Step 3: Cross multiply
    85,728.38x = 121,753.13 × 121,753.13
  4. Step 4: Simplify right side
    85,728.38x = 14,823,823,447.27
  5. Step 5: Solve for x
    x = 14,823,823,447.27/85,728.38
  6. Step 6: Final answer
    x = 172,916.18

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.