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Finding the Third Proportional to 398,194 and 616,552

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Solution

The third proportional to 398,194 and 616,552 is: 954,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,194 : 616,552 = 616,552 : x
  2. Step 2: Convert to fraction form
    398,194/616,552 = 616,552/x
  3. Step 3: Cross multiply
    398,194x = 616,552 × 616,552
  4. Step 4: Simplify right side
    398,194x = 380,136,368,704
  5. Step 5: Solve for x
    x = 380,136,368,704/398,194
  6. Step 6: Final answer
    x = 954,651.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.