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Finding the Third Proportional to 345,326 and 814,031

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Solution

The third proportional to 345,326 and 814,031 is: 1,918,901.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,326 : 814,031 = 814,031 : x
  2. Step 2: Convert to fraction form
    345,326/814,031 = 814,031/x
  3. Step 3: Cross multiply
    345,326x = 814,031 × 814,031
  4. Step 4: Simplify right side
    345,326x = 662,646,468,961
  5. Step 5: Solve for x
    x = 662,646,468,961/345,326
  6. Step 6: Final answer
    x = 1,918,901.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.