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Finding the Third Proportional to 135,366 and 210,432

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Solution

The third proportional to 135,366 and 210,432 is: 327,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,366 : 210,432 = 210,432 : x
  2. Step 2: Convert to fraction form
    135,366/210,432 = 210,432/x
  3. Step 3: Cross multiply
    135,366x = 210,432 × 210,432
  4. Step 4: Simplify right side
    135,366x = 44,281,626,624
  5. Step 5: Solve for x
    x = 44,281,626,624/135,366
  6. Step 6: Final answer
    x = 327,125.18

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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.