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Finding the Third Proportional to 136,866 and 204,746

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Solution

The third proportional to 136,866 and 204,746 is: 306,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,866 : 204,746 = 204,746 : x
  2. Step 2: Convert to fraction form
    136,866/204,746 = 204,746/x
  3. Step 3: Cross multiply
    136,866x = 204,746 × 204,746
  4. Step 4: Simplify right side
    136,866x = 41,920,924,516
  5. Step 5: Solve for x
    x = 41,920,924,516/136,866
  6. Step 6: Final answer
    x = 306,291.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.