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Finding the Third Proportional to 243,056 and 533,920

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Solution

The third proportional to 243,056 and 533,920 is: 1,172,859.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,056 : 533,920 = 533,920 : x
  2. Step 2: Convert to fraction form
    243,056/533,920 = 533,920/x
  3. Step 3: Cross multiply
    243,056x = 533,920 × 533,920
  4. Step 4: Simplify right side
    243,056x = 285,070,566,400
  5. Step 5: Solve for x
    x = 285,070,566,400/243,056
  6. Step 6: Final answer
    x = 1,172,859.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.