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Finding the Third Proportional to 86,229.38 and 128,813.06

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Solution

The third proportional to 86,229.38 and 128,813.06 is: 192,426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,229.38 : 128,813.06 = 128,813.06 : x
  2. Step 2: Convert to fraction form
    86,229.38/128,813.06 = 128,813.06/x
  3. Step 3: Cross multiply
    86,229.38x = 128,813.06 × 128,813.06
  4. Step 4: Simplify right side
    86,229.38x = 16,592,805,070.63
  5. Step 5: Solve for x
    x = 16,592,805,070.63/86,229.38
  6. Step 6: Final answer
    x = 192,426.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.