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Finding the Third Proportional to 156,716 and 220,209

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Solution

The third proportional to 156,716 and 220,209 is: 309,425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,716 : 220,209 = 220,209 : x
  2. Step 2: Convert to fraction form
    156,716/220,209 = 220,209/x
  3. Step 3: Cross multiply
    156,716x = 220,209 × 220,209
  4. Step 4: Simplify right side
    156,716x = 48,492,003,681
  5. Step 5: Solve for x
    x = 48,492,003,681/156,716
  6. Step 6: Final answer
    x = 309,425.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.