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Finding the Third Proportional to 156,910 and 345,491

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Solution

The third proportional to 156,910 and 345,491 is: 760,716.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,910 : 345,491 = 345,491 : x
  2. Step 2: Convert to fraction form
    156,910/345,491 = 345,491/x
  3. Step 3: Cross multiply
    156,910x = 345,491 × 345,491
  4. Step 4: Simplify right side
    156,910x = 119,364,031,081
  5. Step 5: Solve for x
    x = 119,364,031,081/156,910
  6. Step 6: Final answer
    x = 760,716.53

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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.