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Finding the Third Proportional to 189,947 and 406,246

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Solution

The third proportional to 189,947 and 406,246 is: 868,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,947 : 406,246 = 406,246 : x
  2. Step 2: Convert to fraction form
    189,947/406,246 = 406,246/x
  3. Step 3: Cross multiply
    189,947x = 406,246 × 406,246
  4. Step 4: Simplify right side
    189,947x = 165,035,812,516
  5. Step 5: Solve for x
    x = 165,035,812,516/189,947
  6. Step 6: Final answer
    x = 868,851.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.