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Finding the Third Proportional to 156,918 and 345,507

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Solution

The third proportional to 156,918 and 345,507 is: 760,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,918 : 345,507 = 345,507 : x
  2. Step 2: Convert to fraction form
    156,918/345,507 = 345,507/x
  3. Step 3: Cross multiply
    156,918x = 345,507 × 345,507
  4. Step 4: Simplify right side
    156,918x = 119,375,087,049
  5. Step 5: Solve for x
    x = 119,375,087,049/156,918
  6. Step 6: Final answer
    x = 760,748.21

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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.