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Finding the Third Proportional to 324,279 and 518,031

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Solution

The third proportional to 324,279 and 518,031 is: 827,547.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,279 : 518,031 = 518,031 : x
  2. Step 2: Convert to fraction form
    324,279/518,031 = 518,031/x
  3. Step 3: Cross multiply
    324,279x = 518,031 × 518,031
  4. Step 4: Simplify right side
    324,279x = 268,356,116,961
  5. Step 5: Solve for x
    x = 268,356,116,961/324,279
  6. Step 6: Final answer
    x = 827,547.01

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.