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Finding the Third Proportional to 278,083,912 and 420,704,934

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Solution

The third proportional to 278,083,912 and 420,704,934 is: 636,472,064.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,083,912 : 420,704,934 = 420,704,934 : x
  2. Step 2: Convert to fraction form
    278,083,912/420,704,934 = 420,704,934/x
  3. Step 3: Cross multiply
    278,083,912x = 420,704,934 × 420,704,934
  4. Step 4: Simplify right side
    278,083,912x = 176,992,641,491,944,352
  5. Step 5: Solve for x
    x = 176,992,641,491,944,352/278,083,912
  6. Step 6: Final answer
    x = 636,472,064.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.