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Finding the Third Proportional to 243,384 and 534,720

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Solution

The third proportional to 243,384 and 534,720 is: 1,174,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,384 : 534,720 = 534,720 : x
  2. Step 2: Convert to fraction form
    243,384/534,720 = 534,720/x
  3. Step 3: Cross multiply
    243,384x = 534,720 × 534,720
  4. Step 4: Simplify right side
    243,384x = 285,925,478,400
  5. Step 5: Solve for x
    x = 285,925,478,400/243,384
  6. Step 6: Final answer
    x = 1,174,791.60

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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.