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Finding the Third Proportional to 278,083,711 and 420,704,591

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Solution

The third proportional to 278,083,711 and 420,704,591 is: 636,471,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,083,711 : 420,704,591 = 420,704,591 : x
  2. Step 2: Convert to fraction form
    278,083,711/420,704,591 = 420,704,591/x
  3. Step 3: Cross multiply
    278,083,711x = 420,704,591 × 420,704,591
  4. Step 4: Simplify right side
    278,083,711x = 176,992,352,888,477,280
  5. Step 5: Solve for x
    x = 176,992,352,888,477,280/278,083,711
  6. Step 6: Final answer
    x = 636,471,486.42

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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.