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Finding the Third Proportional to 156,908 and 345,487

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Solution

The third proportional to 156,908 and 345,487 is: 760,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,908 : 345,487 = 345,487 : x
  2. Step 2: Convert to fraction form
    156,908/345,487 = 345,487/x
  3. Step 3: Cross multiply
    156,908x = 345,487 × 345,487
  4. Step 4: Simplify right side
    156,908x = 119,361,267,169
  5. Step 5: Solve for x
    x = 119,361,267,169/156,908
  6. Step 6: Final answer
    x = 760,708.61

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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.