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Finding the Third Proportional to 448,508 and 747,486

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Solution

The third proportional to 448,508 and 747,486 is: 1,245,764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,508 : 747,486 = 747,486 : x
  2. Step 2: Convert to fraction form
    448,508/747,486 = 747,486/x
  3. Step 3: Cross multiply
    448,508x = 747,486 × 747,486
  4. Step 4: Simplify right side
    448,508x = 558,735,320,196
  5. Step 5: Solve for x
    x = 558,735,320,196/448,508
  6. Step 6: Final answer
    x = 1,245,764.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.