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Finding the Third Proportional to 258,207 and 398,814

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Solution

The third proportional to 258,207 and 398,814 is: 615,988.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,207 : 398,814 = 398,814 : x
  2. Step 2: Convert to fraction form
    258,207/398,814 = 398,814/x
  3. Step 3: Cross multiply
    258,207x = 398,814 × 398,814
  4. Step 4: Simplify right side
    258,207x = 159,052,606,596
  5. Step 5: Solve for x
    x = 159,052,606,596/258,207
  6. Step 6: Final answer
    x = 615,988.75

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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.