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Finding the Third Proportional to 77,710.13 and 160,948.50

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Solution

The third proportional to 77,710.13 and 160,948.50 is: 333,346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,710.13 : 160,948.50 = 160,948.50 : x
  2. Step 2: Convert to fraction form
    77,710.13/160,948.50 = 160,948.50/x
  3. Step 3: Cross multiply
    77,710.13x = 160,948.50 × 160,948.50
  4. Step 4: Simplify right side
    77,710.13x = 25,904,419,652.25
  5. Step 5: Solve for x
    x = 25,904,419,652.25/77,710.13
  6. Step 6: Final answer
    x = 333,346.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.