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Finding the Third Proportional to 162,781 and 252,019

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Solution

The third proportional to 162,781 and 252,019 is: 390,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,781 : 252,019 = 252,019 : x
  2. Step 2: Convert to fraction form
    162,781/252,019 = 252,019/x
  3. Step 3: Cross multiply
    162,781x = 252,019 × 252,019
  4. Step 4: Simplify right side
    162,781x = 63,513,576,361
  5. Step 5: Solve for x
    x = 63,513,576,361/162,781
  6. Step 6: Final answer
    x = 390,178.07

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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.