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Finding the Third Proportional to 133,209 and 278,730

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Solution

The third proportional to 133,209 and 278,730 is: 583,221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,209 : 278,730 = 278,730 : x
  2. Step 2: Convert to fraction form
    133,209/278,730 = 278,730/x
  3. Step 3: Cross multiply
    133,209x = 278,730 × 278,730
  4. Step 4: Simplify right side
    133,209x = 77,690,412,900
  5. Step 5: Solve for x
    x = 77,690,412,900/133,209
  6. Step 6: Final answer
    x = 583,221.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.