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Finding the Third Proportional to 448,516 and 747,498

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Solution

The third proportional to 448,516 and 747,498 is: 1,245,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,516 : 747,498 = 747,498 : x
  2. Step 2: Convert to fraction form
    448,516/747,498 = 747,498/x
  3. Step 3: Cross multiply
    448,516x = 747,498 × 747,498
  4. Step 4: Simplify right side
    448,516x = 558,753,260,004
  5. Step 5: Solve for x
    x = 558,753,260,004/448,516
  6. Step 6: Final answer
    x = 1,245,782.22

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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.