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Finding the Third Proportional to 86,050.48 and 133,572.16

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Solution

The third proportional to 86,050.48 and 133,572.16 is: 207,337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,050.48 : 133,572.16 = 133,572.16 : x
  2. Step 2: Convert to fraction form
    86,050.48/133,572.16 = 133,572.16/x
  3. Step 3: Cross multiply
    86,050.48x = 133,572.16 × 133,572.16
  4. Step 4: Simplify right side
    86,050.48x = 17,841,523,012.34
  5. Step 5: Solve for x
    x = 17,841,523,012.34/86,050.48
  6. Step 6: Final answer
    x = 207,337.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.