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Finding the Third Proportional to 162,853 and 251,661

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Solution

The third proportional to 162,853 and 251,661 is: 388,898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,853 : 251,661 = 251,661 : x
  2. Step 2: Convert to fraction form
    162,853/251,661 = 251,661/x
  3. Step 3: Cross multiply
    162,853x = 251,661 × 251,661
  4. Step 4: Simplify right side
    162,853x = 63,333,258,921
  5. Step 5: Solve for x
    x = 63,333,258,921/162,853
  6. Step 6: Final answer
    x = 388,898.32

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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.