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Finding the Third Proportional to 448,510 and 747,489

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Solution

The third proportional to 448,510 and 747,489 is: 1,245,768.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,510 : 747,489 = 747,489 : x
  2. Step 2: Convert to fraction form
    448,510/747,489 = 747,489/x
  3. Step 3: Cross multiply
    448,510x = 747,489 × 747,489
  4. Step 4: Simplify right side
    448,510x = 558,739,805,121
  5. Step 5: Solve for x
    x = 558,739,805,121/448,510
  6. Step 6: Final answer
    x = 1,245,768.89

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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.