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Finding the Third Proportional to 71,315 and 152,750

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Solution

The third proportional to 71,315 and 152,750 is: 327,176.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,315 : 152,750 = 152,750 : x
  2. Step 2: Convert to fraction form
    71,315/152,750 = 152,750/x
  3. Step 3: Cross multiply
    71,315x = 152,750 × 152,750
  4. Step 4: Simplify right side
    71,315x = 23,332,562,500
  5. Step 5: Solve for x
    x = 23,332,562,500/71,315
  6. Step 6: Final answer
    x = 327,176.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.