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Finding the Third Proportional to 221,524 and 520,078

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Solution

The third proportional to 221,524 and 520,078 is: 1,221,001.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,524 : 520,078 = 520,078 : x
  2. Step 2: Convert to fraction form
    221,524/520,078 = 520,078/x
  3. Step 3: Cross multiply
    221,524x = 520,078 × 520,078
  4. Step 4: Simplify right side
    221,524x = 270,481,126,084
  5. Step 5: Solve for x
    x = 270,481,126,084/221,524
  6. Step 6: Final answer
    x = 1,221,001.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.