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Finding the Third Proportional to 243,579 and 531,309

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Solution

The third proportional to 243,579 and 531,309 is: 1,158,922.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,579 : 531,309 = 531,309 : x
  2. Step 2: Convert to fraction form
    243,579/531,309 = 531,309/x
  3. Step 3: Cross multiply
    243,579x = 531,309 × 531,309
  4. Step 4: Simplify right side
    243,579x = 282,289,253,481
  5. Step 5: Solve for x
    x = 282,289,253,481/243,579
  6. Step 6: Final answer
    x = 1,158,922.79

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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.