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Finding the Third Proportional to 289,645.88 and 448,480.13

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Solution

The third proportional to 289,645.88 and 448,480.13 is: 694,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,645.88 : 448,480.13 = 448,480.13 : x
  2. Step 2: Convert to fraction form
    289,645.88/448,480.13 = 448,480.13/x
  3. Step 3: Cross multiply
    289,645.88x = 448,480.13 × 448,480.13
  4. Step 4: Simplify right side
    289,645.88x = 201,134,422,520.02
  5. Step 5: Solve for x
    x = 201,134,422,520.02/289,645.88
  6. Step 6: Final answer
    x = 694,414.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.