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Finding the Third Proportional to 87,590,856 and 206,766,438

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Solution

The third proportional to 87,590,856 and 206,766,438 is: 488,091,586.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,590,856 : 206,766,438 = 206,766,438 : x
  2. Step 2: Convert to fraction form
    87,590,856/206,766,438 = 206,766,438/x
  3. Step 3: Cross multiply
    87,590,856x = 206,766,438 × 206,766,438
  4. Step 4: Simplify right side
    87,590,856x = 42,752,359,883,207,840
  5. Step 5: Solve for x
    x = 42,752,359,883,207,840/87,590,856
  6. Step 6: Final answer
    x = 488,091,586.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.