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Finding the Third Proportional to 134,471 and 208,209

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Solution

The third proportional to 134,471 and 208,209 is: 322,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,471 : 208,209 = 208,209 : x
  2. Step 2: Convert to fraction form
    134,471/208,209 = 208,209/x
  3. Step 3: Cross multiply
    134,471x = 208,209 × 208,209
  4. Step 4: Simplify right side
    134,471x = 43,350,987,681
  5. Step 5: Solve for x
    x = 43,350,987,681/134,471
  6. Step 6: Final answer
    x = 322,381.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.