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Finding the Third Proportional to 257,184 and 398,184

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Solution

The third proportional to 257,184 and 398,184 is: 616,486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,184 : 398,184 = 398,184 : x
  2. Step 2: Convert to fraction form
    257,184/398,184 = 398,184/x
  3. Step 3: Cross multiply
    257,184x = 398,184 × 398,184
  4. Step 4: Simplify right side
    257,184x = 158,550,497,856
  5. Step 5: Solve for x
    x = 158,550,497,856/257,184
  6. Step 6: Final answer
    x = 616,486.63

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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.