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Finding the Third Proportional to 7,981,582 and 12,171,657

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Solution

The third proportional to 7,981,582 and 12,171,657 is: 18,561,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981,582 : 12,171,657 = 12,171,657 : x
  2. Step 2: Convert to fraction form
    7,981,582/12,171,657 = 12,171,657/x
  3. Step 3: Cross multiply
    7,981,582x = 12,171,657 × 12,171,657
  4. Step 4: Simplify right side
    7,981,582x = 148,149,234,125,649
  5. Step 5: Solve for x
    x = 148,149,234,125,649/7,981,582
  6. Step 6: Final answer
    x = 18,561,387.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.