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Finding the Third Proportional to 136,730 and 209,883

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Solution

The third proportional to 136,730 and 209,883 is: 322,174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,730 : 209,883 = 209,883 : x
  2. Step 2: Convert to fraction form
    136,730/209,883 = 209,883/x
  3. Step 3: Cross multiply
    136,730x = 209,883 × 209,883
  4. Step 4: Simplify right side
    136,730x = 44,050,873,689
  5. Step 5: Solve for x
    x = 44,050,873,689/136,730
  6. Step 6: Final answer
    x = 322,174.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.