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Finding the Third Proportional to 221,508 and 520,038

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Solution

The third proportional to 221,508 and 520,038 is: 1,220,901.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,508 : 520,038 = 520,038 : x
  2. Step 2: Convert to fraction form
    221,508/520,038 = 520,038/x
  3. Step 3: Cross multiply
    221,508x = 520,038 × 520,038
  4. Step 4: Simplify right side
    221,508x = 270,439,521,444
  5. Step 5: Solve for x
    x = 270,439,521,444/221,508
  6. Step 6: Final answer
    x = 1,220,901.82

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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.