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Finding the Third Proportional to 154,624 and 220,520

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Solution

The third proportional to 154,624 and 220,520 is: 314,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,624 : 220,520 = 220,520 : x
  2. Step 2: Convert to fraction form
    154,624/220,520 = 220,520/x
  3. Step 3: Cross multiply
    154,624x = 220,520 × 220,520
  4. Step 4: Simplify right side
    154,624x = 48,629,070,400
  5. Step 5: Solve for x
    x = 48,629,070,400/154,624
  6. Step 6: Final answer
    x = 314,498.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.