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Finding the Third Proportional to 80,748,787.50 and 177,129,432

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Solution

The third proportional to 80,748,787.50 and 177,129,432 is: 388,548,690.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,748,787.50 : 177,129,432 = 177,129,432 : x
  2. Step 2: Convert to fraction form
    80,748,787.50/177,129,432 = 177,129,432/x
  3. Step 3: Cross multiply
    80,748,787.50x = 177,129,432 × 177,129,432
  4. Step 4: Simplify right side
    80,748,787.50x = 31,374,835,680,642,624
  5. Step 5: Solve for x
    x = 31,374,835,680,642,624/80,748,787.50
  6. Step 6: Final answer
    x = 388,548,690.97

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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.