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Finding the Third Proportional to 258,076.13 and 398,616.19

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Solution

The third proportional to 258,076.13 and 398,616.19 is: 615,689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,076.13 : 398,616.19 = 398,616.19 : x
  2. Step 2: Convert to fraction form
    258,076.13/398,616.19 = 398,616.19/x
  3. Step 3: Cross multiply
    258,076.13x = 398,616.19 × 398,616.19
  4. Step 4: Simplify right side
    258,076.13x = 158,894,864,937.04
  5. Step 5: Solve for x
    x = 158,894,864,937.04/258,076.13
  6. Step 6: Final answer
    x = 615,689.91

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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.