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Finding the Third Proportional to 156,920 and 345,511

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Solution

The third proportional to 156,920 and 345,511 is: 760,756.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,920 : 345,511 = 345,511 : x
  2. Step 2: Convert to fraction form
    156,920/345,511 = 345,511/x
  3. Step 3: Cross multiply
    156,920x = 345,511 × 345,511
  4. Step 4: Simplify right side
    156,920x = 119,377,851,121
  5. Step 5: Solve for x
    x = 119,377,851,121/156,920
  6. Step 6: Final answer
    x = 760,756.12

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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.