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Finding the Third Proportional to 398,796 and 612,981

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Solution

The third proportional to 398,796 and 612,981 is: 942,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,796 : 612,981 = 612,981 : x
  2. Step 2: Convert to fraction form
    398,796/612,981 = 612,981/x
  3. Step 3: Cross multiply
    398,796x = 612,981 × 612,981
  4. Step 4: Simplify right side
    398,796x = 375,745,706,361
  5. Step 5: Solve for x
    x = 375,745,706,361/398,796
  6. Step 6: Final answer
    x = 942,200.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.