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Finding the Third Proportional to 398,789 and 612,965

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Solution

The third proportional to 398,789 and 612,965 is: 942,167.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,789 : 612,965 = 612,965 : x
  2. Step 2: Convert to fraction form
    398,789/612,965 = 612,965/x
  3. Step 3: Cross multiply
    398,789x = 612,965 × 612,965
  4. Step 4: Simplify right side
    398,789x = 375,726,091,225
  5. Step 5: Solve for x
    x = 375,726,091,225/398,789
  6. Step 6: Final answer
    x = 942,167.64

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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.