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Finding the Third Proportional to 155,614 and 220,208

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Solution

The third proportional to 155,614 and 220,208 is: 311,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,614 : 220,208 = 220,208 : x
  2. Step 2: Convert to fraction form
    155,614/220,208 = 220,208/x
  3. Step 3: Cross multiply
    155,614x = 220,208 × 220,208
  4. Step 4: Simplify right side
    155,614x = 48,491,563,264
  5. Step 5: Solve for x
    x = 48,491,563,264/155,614
  6. Step 6: Final answer
    x = 311,614.40

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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.