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Finding the Third Proportional to 631,889 and 819,744

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Solution

The third proportional to 631,889 and 819,744 is: 1,063,446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,889 : 819,744 = 819,744 : x
  2. Step 2: Convert to fraction form
    631,889/819,744 = 819,744/x
  3. Step 3: Cross multiply
    631,889x = 819,744 × 819,744
  4. Step 4: Simplify right side
    631,889x = 671,980,225,536
  5. Step 5: Solve for x
    x = 671,980,225,536/631,889
  6. Step 6: Final answer
    x = 1,063,446.63

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.