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Finding the Third Proportional to 152,911 and 220,254

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Solution

The third proportional to 152,911 and 220,254 is: 317,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,911 : 220,254 = 220,254 : x
  2. Step 2: Convert to fraction form
    152,911/220,254 = 220,254/x
  3. Step 3: Cross multiply
    152,911x = 220,254 × 220,254
  4. Step 4: Simplify right side
    152,911x = 48,511,824,516
  5. Step 5: Solve for x
    x = 48,511,824,516/152,911
  6. Step 6: Final answer
    x = 317,255.30

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.