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Finding the Third Proportional to 71,720 and 157,596

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Solution

The third proportional to 71,720 and 157,596 is: 346,298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,720 : 157,596 = 157,596 : x
  2. Step 2: Convert to fraction form
    71,720/157,596 = 157,596/x
  3. Step 3: Cross multiply
    71,720x = 157,596 × 157,596
  4. Step 4: Simplify right side
    71,720x = 24,836,499,216
  5. Step 5: Solve for x
    x = 24,836,499,216/71,720
  6. Step 6: Final answer
    x = 346,298.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.