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Finding the Third Proportional to 156,956 and 345,580

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Solution

The third proportional to 156,956 and 345,580 is: 760,885.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,956 : 345,580 = 345,580 : x
  2. Step 2: Convert to fraction form
    156,956/345,580 = 345,580/x
  3. Step 3: Cross multiply
    156,956x = 345,580 × 345,580
  4. Step 4: Simplify right side
    156,956x = 119,425,536,400
  5. Step 5: Solve for x
    x = 119,425,536,400/156,956
  6. Step 6: Final answer
    x = 760,885.45

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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.