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Finding the Third Proportional to 156,025 and 342,559

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Solution

The third proportional to 156,025 and 342,559 is: 752,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,025 : 342,559 = 342,559 : x
  2. Step 2: Convert to fraction form
    156,025/342,559 = 342,559/x
  3. Step 3: Cross multiply
    156,025x = 342,559 × 342,559
  4. Step 4: Simplify right side
    156,025x = 117,346,668,481
  5. Step 5: Solve for x
    x = 117,346,668,481/156,025
  6. Step 6: Final answer
    x = 752,101.70

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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.