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Finding the Third Proportional to 156,656 and 219,911

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Solution

The third proportional to 156,656 and 219,911 is: 308,707.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,656 : 219,911 = 219,911 : x
  2. Step 2: Convert to fraction form
    156,656/219,911 = 219,911/x
  3. Step 3: Cross multiply
    156,656x = 219,911 × 219,911
  4. Step 4: Simplify right side
    156,656x = 48,360,847,921
  5. Step 5: Solve for x
    x = 48,360,847,921/156,656
  6. Step 6: Final answer
    x = 308,707.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.