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Finding the Third Proportional to 257,938 and 398,415

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Solution

The third proportional to 257,938 and 398,415 is: 615,397.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,938 : 398,415 = 398,415 : x
  2. Step 2: Convert to fraction form
    257,938/398,415 = 398,415/x
  3. Step 3: Cross multiply
    257,938x = 398,415 × 398,415
  4. Step 4: Simplify right side
    257,938x = 158,734,512,225
  5. Step 5: Solve for x
    x = 158,734,512,225/257,938
  6. Step 6: Final answer
    x = 615,397.93

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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.