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Finding the Third Proportional to 278,083,713 and 420,704,594

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Solution

The third proportional to 278,083,713 and 420,704,594 is: 636,471,490.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,083,713 : 420,704,594 = 420,704,594 : x
  2. Step 2: Convert to fraction form
    278,083,713/420,704,594 = 420,704,594/x
  3. Step 3: Cross multiply
    278,083,713x = 420,704,594 × 420,704,594
  4. Step 4: Simplify right side
    278,083,713x = 176,992,355,412,704,832
  5. Step 5: Solve for x
    x = 176,992,355,412,704,832/278,083,713
  6. Step 6: Final answer
    x = 636,471,490.92

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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.