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Finding the Third Proportional to 221,464 and 519,920

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Solution

The third proportional to 221,464 and 519,920 is: 1,220,590.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,464 : 519,920 = 519,920 : x
  2. Step 2: Convert to fraction form
    221,464/519,920 = 519,920/x
  3. Step 3: Cross multiply
    221,464x = 519,920 × 519,920
  4. Step 4: Simplify right side
    221,464x = 270,316,806,400
  5. Step 5: Solve for x
    x = 270,316,806,400/221,464
  6. Step 6: Final answer
    x = 1,220,590.28

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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.