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Finding the Third Proportional to 243,840 and 521,478

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Solution

The third proportional to 243,840 and 521,478 is: 1,115,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,840 : 521,478 = 521,478 : x
  2. Step 2: Convert to fraction form
    243,840/521,478 = 521,478/x
  3. Step 3: Cross multiply
    243,840x = 521,478 × 521,478
  4. Step 4: Simplify right side
    243,840x = 271,939,304,484
  5. Step 5: Solve for x
    x = 271,939,304,484/243,840
  6. Step 6: Final answer
    x = 1,115,236.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.