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Finding the Third Proportional to 7,981,572 and 12,171,643

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Solution

The third proportional to 7,981,572 and 12,171,643 is: 18,561,367.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981,572 : 12,171,643 = 12,171,643 : x
  2. Step 2: Convert to fraction form
    7,981,572/12,171,643 = 12,171,643/x
  3. Step 3: Cross multiply
    7,981,572x = 12,171,643 × 12,171,643
  4. Step 4: Simplify right side
    7,981,572x = 148,148,893,319,449
  5. Step 5: Solve for x
    x = 148,148,893,319,449/7,981,572
  6. Step 6: Final answer
    x = 18,561,367.78

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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.