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Finding the Third Proportional to 418,187.25 and 665,418.19

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Solution

The third proportional to 418,187.25 and 665,418.19 is: 1,058,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,187.25 : 665,418.19 = 665,418.19 : x
  2. Step 2: Convert to fraction form
    418,187.25/665,418.19 = 665,418.19/x
  3. Step 3: Cross multiply
    418,187.25x = 665,418.19 × 665,418.19
  4. Step 4: Simplify right side
    418,187.25x = 442,781,364,255.79
  5. Step 5: Solve for x
    x = 442,781,364,255.79/418,187.25
  6. Step 6: Final answer
    x = 1,058,811.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.