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Finding the Third Proportional to 136,446 and 289,356

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Solution

The third proportional to 136,446 and 289,356 is: 613,626.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,446 : 289,356 = 289,356 : x
  2. Step 2: Convert to fraction form
    136,446/289,356 = 289,356/x
  3. Step 3: Cross multiply
    136,446x = 289,356 × 289,356
  4. Step 4: Simplify right side
    136,446x = 83,726,894,736
  5. Step 5: Solve for x
    x = 83,726,894,736/136,446
  6. Step 6: Final answer
    x = 613,626.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.