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Finding the Third Proportional to 156,930 and 345,534

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Solution

The third proportional to 156,930 and 345,534 is: 760,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,930 : 345,534 = 345,534 : x
  2. Step 2: Convert to fraction form
    156,930/345,534 = 345,534/x
  3. Step 3: Cross multiply
    156,930x = 345,534 × 345,534
  4. Step 4: Simplify right side
    156,930x = 119,393,745,156
  5. Step 5: Solve for x
    x = 119,393,745,156/156,930
  6. Step 6: Final answer
    x = 760,808.93

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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.