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Finding the Third Proportional to 258,002 and 398,507

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Solution

The third proportional to 258,002 and 398,507 is: 615,529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,002 : 398,507 = 398,507 : x
  2. Step 2: Convert to fraction form
    258,002/398,507 = 398,507/x
  3. Step 3: Cross multiply
    258,002x = 398,507 × 398,507
  4. Step 4: Simplify right side
    258,002x = 158,807,829,049
  5. Step 5: Solve for x
    x = 158,807,829,049/258,002
  6. Step 6: Final answer
    x = 615,529.45

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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.