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Finding the Third Proportional to 109,946 and 162,489

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Solution

The third proportional to 109,946 and 162,489 is: 240,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,946 : 162,489 = 162,489 : x
  2. Step 2: Convert to fraction form
    109,946/162,489 = 162,489/x
  3. Step 3: Cross multiply
    109,946x = 162,489 × 162,489
  4. Step 4: Simplify right side
    109,946x = 26,402,675,121
  5. Step 5: Solve for x
    x = 26,402,675,121/109,946
  6. Step 6: Final answer
    x = 240,142.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.