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Finding the Third Proportional to 154,626 and 220,523

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Solution

The third proportional to 154,626 and 220,523 is: 314,503.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,626 : 220,523 = 220,523 : x
  2. Step 2: Convert to fraction form
    154,626/220,523 = 220,523/x
  3. Step 3: Cross multiply
    154,626x = 220,523 × 220,523
  4. Step 4: Simplify right side
    154,626x = 48,630,393,529
  5. Step 5: Solve for x
    x = 48,630,393,529/154,626
  6. Step 6: Final answer
    x = 314,503.34

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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.