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Finding the Third Proportional to 243,400 and 522,780

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Solution

The third proportional to 243,400 and 522,780 is: 1,122,838.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,400 : 522,780 = 522,780 : x
  2. Step 2: Convert to fraction form
    243,400/522,780 = 522,780/x
  3. Step 3: Cross multiply
    243,400x = 522,780 × 522,780
  4. Step 4: Simplify right side
    243,400x = 273,298,928,400
  5. Step 5: Solve for x
    x = 273,298,928,400/243,400
  6. Step 6: Final answer
    x = 1,122,838.65

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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.