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Finding the Third Proportional to 69,211.31 and 108,430.13

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Solution

The third proportional to 69,211.31 and 108,430.13 is: 169,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,211.31 : 108,430.13 = 108,430.13 : x
  2. Step 2: Convert to fraction form
    69,211.31/108,430.13 = 108,430.13/x
  3. Step 3: Cross multiply
    69,211.31x = 108,430.13 × 108,430.13
  4. Step 4: Simplify right side
    69,211.31x = 11,757,092,007.52
  5. Step 5: Solve for x
    x = 11,757,092,007.52/69,211.31
  6. Step 6: Final answer
    x = 169,872.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.