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Finding the Third Proportional to 162,909 and 252,246

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Solution

The third proportional to 162,909 and 252,246 is: 390,574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,909 : 252,246 = 252,246 : x
  2. Step 2: Convert to fraction form
    162,909/252,246 = 252,246/x
  3. Step 3: Cross multiply
    162,909x = 252,246 × 252,246
  4. Step 4: Simplify right side
    162,909x = 63,628,044,516
  5. Step 5: Solve for x
    x = 63,628,044,516/162,909
  6. Step 6: Final answer
    x = 390,574.15

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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.