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Finding the Third Proportional to 156,787 and 343,597

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Solution

The third proportional to 156,787 and 343,597 is: 752,989.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,787 : 343,597 = 343,597 : x
  2. Step 2: Convert to fraction form
    156,787/343,597 = 343,597/x
  3. Step 3: Cross multiply
    156,787x = 343,597 × 343,597
  4. Step 4: Simplify right side
    156,787x = 118,058,898,409
  5. Step 5: Solve for x
    x = 118,058,898,409/156,787
  6. Step 6: Final answer
    x = 752,989.08

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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.