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Finding the Third Proportional to 448,634.25 and 639,894.38

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Solution

The third proportional to 448,634.25 and 639,894.38 is: 912,691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,634.25 : 639,894.38 = 639,894.38 : x
  2. Step 2: Convert to fraction form
    448,634.25/639,894.38 = 639,894.38/x
  3. Step 3: Cross multiply
    448,634.25x = 639,894.38 × 639,894.38
  4. Step 4: Simplify right side
    448,634.25x = 409,464,811,156.64
  5. Step 5: Solve for x
    x = 409,464,811,156.64/448,634.25
  6. Step 6: Final answer
    x = 912,691.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.