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Finding the Third Proportional to 221,229 and 520,023

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Solution

The third proportional to 221,229 and 520,023 is: 1,222,371.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,229 : 520,023 = 520,023 : x
  2. Step 2: Convert to fraction form
    221,229/520,023 = 520,023/x
  3. Step 3: Cross multiply
    221,229x = 520,023 × 520,023
  4. Step 4: Simplify right side
    221,229x = 270,423,920,529
  5. Step 5: Solve for x
    x = 270,423,920,529/221,229
  6. Step 6: Final answer
    x = 1,222,371.03

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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.