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Finding the Third Proportional to 631,887 and 819,741

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Solution

The third proportional to 631,887 and 819,741 is: 1,063,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,887 : 819,741 = 819,741 : x
  2. Step 2: Convert to fraction form
    631,887/819,741 = 819,741/x
  3. Step 3: Cross multiply
    631,887x = 819,741 × 819,741
  4. Step 4: Simplify right side
    631,887x = 671,975,307,081
  5. Step 5: Solve for x
    x = 671,975,307,081/631,887
  6. Step 6: Final answer
    x = 1,063,442.21

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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.