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Finding the Third Proportional to 75,699 and 156,257

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Solution

The third proportional to 75,699 and 156,257 is: 322,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,699 : 156,257 = 156,257 : x
  2. Step 2: Convert to fraction form
    75,699/156,257 = 156,257/x
  3. Step 3: Cross multiply
    75,699x = 156,257 × 156,257
  4. Step 4: Simplify right side
    75,699x = 24,416,250,049
  5. Step 5: Solve for x
    x = 24,416,250,049/75,699
  6. Step 6: Final answer
    x = 322,543.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.