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Finding the Third Proportional to 258,648.75 and 399,044.25

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Solution

The third proportional to 258,648.75 and 399,044.25 is: 615,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,648.75 : 399,044.25 = 399,044.25 : x
  2. Step 2: Convert to fraction form
    258,648.75/399,044.25 = 399,044.25/x
  3. Step 3: Cross multiply
    258,648.75x = 399,044.25 × 399,044.25
  4. Step 4: Simplify right side
    258,648.75x = 159,236,313,458.06
  5. Step 5: Solve for x
    x = 159,236,313,458.06/258,648.75
  6. Step 6: Final answer
    x = 615,646.95

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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.