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Finding the Third Proportional to 243,005 and 529,872

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Solution

The third proportional to 243,005 and 529,872 is: 1,155,385.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,005 : 529,872 = 529,872 : x
  2. Step 2: Convert to fraction form
    243,005/529,872 = 529,872/x
  3. Step 3: Cross multiply
    243,005x = 529,872 × 529,872
  4. Step 4: Simplify right side
    243,005x = 280,764,336,384
  5. Step 5: Solve for x
    x = 280,764,336,384/243,005
  6. Step 6: Final answer
    x = 1,155,385.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.