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Finding the Third Proportional to 53,490.38 and 81,663.19

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Solution

The third proportional to 53,490.38 and 81,663.19 is: 124,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,490.38 : 81,663.19 = 81,663.19 : x
  2. Step 2: Convert to fraction form
    53,490.38/81,663.19 = 81,663.19/x
  3. Step 3: Cross multiply
    53,490.38x = 81,663.19 × 81,663.19
  4. Step 4: Simplify right side
    53,490.38x = 6,668,876,192.66
  5. Step 5: Solve for x
    x = 6,668,876,192.66/53,490.38
  6. Step 6: Final answer
    x = 124,674.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.