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Finding the Third Proportional to 138,492 and 210,654

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Solution

The third proportional to 138,492 and 210,654 is: 320,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,492 : 210,654 = 210,654 : x
  2. Step 2: Convert to fraction form
    138,492/210,654 = 210,654/x
  3. Step 3: Cross multiply
    138,492x = 210,654 × 210,654
  4. Step 4: Simplify right side
    138,492x = 44,375,107,716
  5. Step 5: Solve for x
    x = 44,375,107,716/138,492
  6. Step 6: Final answer
    x = 320,416.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.