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Finding the Third Proportional to 156,637 and 252,209

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Solution

The third proportional to 156,637 and 252,209 is: 406,094.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,637 : 252,209 = 252,209 : x
  2. Step 2: Convert to fraction form
    156,637/252,209 = 252,209/x
  3. Step 3: Cross multiply
    156,637x = 252,209 × 252,209
  4. Step 4: Simplify right side
    156,637x = 63,609,379,681
  5. Step 5: Solve for x
    x = 63,609,379,681/156,637
  6. Step 6: Final answer
    x = 406,094.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.