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Finding the Third Proportional to 372,948 and 818,478

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Solution

The third proportional to 372,948 and 818,478 is: 1,796,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,948 : 818,478 = 818,478 : x
  2. Step 2: Convert to fraction form
    372,948/818,478 = 818,478/x
  3. Step 3: Cross multiply
    372,948x = 818,478 × 818,478
  4. Step 4: Simplify right side
    372,948x = 669,906,236,484
  5. Step 5: Solve for x
    x = 669,906,236,484/372,948
  6. Step 6: Final answer
    x = 1,796,245.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.