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Finding the Third Proportional to 80,748,517.50 and 177,130,120.50

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Solution

The third proportional to 80,748,517.50 and 177,130,120.50 is: 388,553,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,748,517.50 : 177,130,120.50 = 177,130,120.50 : x
  2. Step 2: Convert to fraction form
    80,748,517.50/177,130,120.50 = 177,130,120.50/x
  3. Step 3: Cross multiply
    80,748,517.50x = 177,130,120.50 × 177,130,120.50
  4. Step 4: Simplify right side
    80,748,517.50x = 31,375,079,588,344,520
  5. Step 5: Solve for x
    x = 31,375,079,588,344,520/80,748,517.50
  6. Step 6: Final answer
    x = 388,553,010.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.