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Finding the Third Proportional to 77,983.13 and 159,654.94

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Solution

The third proportional to 77,983.13 and 159,654.94 is: 326,861.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,983.13 : 159,654.94 = 159,654.94 : x
  2. Step 2: Convert to fraction form
    77,983.13/159,654.94 = 159,654.94/x
  3. Step 3: Cross multiply
    77,983.13x = 159,654.94 × 159,654.94
  4. Step 4: Simplify right side
    77,983.13x = 25,489,699,068.13
  5. Step 5: Solve for x
    x = 25,489,699,068.13/77,983.13
  6. Step 6: Final answer
    x = 326,861.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.