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Finding the Third Proportional to 278,424,061.88 and 579,715,759.13

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Solution

The third proportional to 278,424,061.88 and 579,715,759.13 is: 1,207,044,962.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,424,061.88 : 579,715,759.13 = 579,715,759.13 : x
  2. Step 2: Convert to fraction form
    278,424,061.88/579,715,759.13 = 579,715,759.13/x
  3. Step 3: Cross multiply
    278,424,061.88x = 579,715,759.13 × 579,715,759.13
  4. Step 4: Simplify right side
    278,424,061.88x = 336,070,361,377,875,008
  5. Step 5: Solve for x
    x = 336,070,361,377,875,008/278,424,061.88
  6. Step 6: Final answer
    x = 1,207,044,962.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.