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Finding the Third Proportional to 316,874 and 494,751

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Solution

The third proportional to 316,874 and 494,751 is: 772,479.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,874 : 494,751 = 494,751 : x
  2. Step 2: Convert to fraction form
    316,874/494,751 = 494,751/x
  3. Step 3: Cross multiply
    316,874x = 494,751 × 494,751
  4. Step 4: Simplify right side
    316,874x = 244,778,552,001
  5. Step 5: Solve for x
    x = 244,778,552,001/316,874
  6. Step 6: Final answer
    x = 772,479.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.