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Finding the Third Proportional to 71,415 and 136,350

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Solution

The third proportional to 71,415 and 136,350 is: 260,327.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,415 : 136,350 = 136,350 : x
  2. Step 2: Convert to fraction form
    71,415/136,350 = 136,350/x
  3. Step 3: Cross multiply
    71,415x = 136,350 × 136,350
  4. Step 4: Simplify right side
    71,415x = 18,591,322,500
  5. Step 5: Solve for x
    x = 18,591,322,500/71,415
  6. Step 6: Final answer
    x = 260,327.98

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.