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Finding the Third Proportional to 80,748,903.80 and 177,129,640.69

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Solution

The third proportional to 80,748,903.80 and 177,129,640.69 is: 388,549,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,748,903.80 : 177,129,640.69 = 177,129,640.69 : x
  2. Step 2: Convert to fraction form
    80,748,903.80/177,129,640.69 = 177,129,640.69/x
  3. Step 3: Cross multiply
    80,748,903.80x = 177,129,640.69 × 177,129,640.69
  4. Step 4: Simplify right side
    80,748,903.80x = 31,374,909,610,082,856
  5. Step 5: Solve for x
    x = 31,374,909,610,082,856/80,748,903.80
  6. Step 6: Final answer
    x = 388,549,046.92

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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.