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Finding the Third Proportional to 77,319.56 and 180,655.31

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Solution

The third proportional to 77,319.56 and 180,655.31 is: 422,096.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,319.56 : 180,655.31 = 180,655.31 : x
  2. Step 2: Convert to fraction form
    77,319.56/180,655.31 = 180,655.31/x
  3. Step 3: Cross multiply
    77,319.56x = 180,655.31 × 180,655.31
  4. Step 4: Simplify right side
    77,319.56x = 32,636,341,934.47
  5. Step 5: Solve for x
    x = 32,636,341,934.47/77,319.56
  6. Step 6: Final answer
    x = 422,096.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.