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Finding the Third Proportional to 156,733 and 343,510

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Solution

The third proportional to 156,733 and 343,510 is: 752,867.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,733 : 343,510 = 343,510 : x
  2. Step 2: Convert to fraction form
    156,733/343,510 = 343,510/x
  3. Step 3: Cross multiply
    156,733x = 343,510 × 343,510
  4. Step 4: Simplify right side
    156,733x = 117,999,120,100
  5. Step 5: Solve for x
    x = 117,999,120,100/156,733
  6. Step 6: Final answer
    x = 752,867.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.