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Finding the Third Proportional to 243,228 and 522,420

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Solution

The third proportional to 243,228 and 522,420 is: 1,122,085.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,228 : 522,420 = 522,420 : x
  2. Step 2: Convert to fraction form
    243,228/522,420 = 522,420/x
  3. Step 3: Cross multiply
    243,228x = 522,420 × 522,420
  4. Step 4: Simplify right side
    243,228x = 272,922,656,400
  5. Step 5: Solve for x
    x = 272,922,656,400/243,228
  6. Step 6: Final answer
    x = 1,122,085.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.