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Finding the Third Proportional to 135,432 and 291,677

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Solution

The third proportional to 135,432 and 291,677 is: 628,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,432 : 291,677 = 291,677 : x
  2. Step 2: Convert to fraction form
    135,432/291,677 = 291,677/x
  3. Step 3: Cross multiply
    135,432x = 291,677 × 291,677
  4. Step 4: Simplify right side
    135,432x = 85,075,472,329
  5. Step 5: Solve for x
    x = 85,075,472,329/135,432
  6. Step 6: Final answer
    x = 628,178.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.