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Finding the Third Proportional to 80,899,562 and 178,290,481

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Solution

The third proportional to 80,899,562 and 178,290,481 is: 392,925,435.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,899,562 : 178,290,481 = 178,290,481 : x
  2. Step 2: Convert to fraction form
    80,899,562/178,290,481 = 178,290,481/x
  3. Step 3: Cross multiply
    80,899,562x = 178,290,481 × 178,290,481
  4. Step 4: Simplify right side
    80,899,562x = 31,787,495,615,211,360
  5. Step 5: Solve for x
    x = 31,787,495,615,211,360/80,899,562
  6. Step 6: Final answer
    x = 392,925,435.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.