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Finding the Third Proportional to 156,988 and 223,642

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Solution

The third proportional to 156,988 and 223,642 is: 318,595.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,988 : 223,642 = 223,642 : x
  2. Step 2: Convert to fraction form
    156,988/223,642 = 223,642/x
  3. Step 3: Cross multiply
    156,988x = 223,642 × 223,642
  4. Step 4: Simplify right side
    156,988x = 50,015,744,164
  5. Step 5: Solve for x
    x = 50,015,744,164/156,988
  6. Step 6: Final answer
    x = 318,595.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.