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Finding the Third Proportional to 243,589 and 531,328

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Solution

The third proportional to 243,589 and 531,328 is: 1,158,958.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,589 : 531,328 = 531,328 : x
  2. Step 2: Convert to fraction form
    243,589/531,328 = 531,328/x
  3. Step 3: Cross multiply
    243,589x = 531,328 × 531,328
  4. Step 4: Simplify right side
    243,589x = 282,309,443,584
  5. Step 5: Solve for x
    x = 282,309,443,584/243,589
  6. Step 6: Final answer
    x = 1,158,958.10

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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.