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Finding the Third Proportional to 137,202 and 278,220

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Solution

The third proportional to 137,202 and 278,220 is: 564,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,202 : 278,220 = 278,220 : x
  2. Step 2: Convert to fraction form
    137,202/278,220 = 278,220/x
  3. Step 3: Cross multiply
    137,202x = 278,220 × 278,220
  4. Step 4: Simplify right side
    137,202x = 77,406,368,400
  5. Step 5: Solve for x
    x = 77,406,368,400/137,202
  6. Step 6: Final answer
    x = 564,178.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.