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Finding the Third Proportional to 448,498 and 674,637

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Solution

The third proportional to 448,498 and 674,637 is: 1,014,798.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,498 : 674,637 = 674,637 : x
  2. Step 2: Convert to fraction form
    448,498/674,637 = 674,637/x
  3. Step 3: Cross multiply
    448,498x = 674,637 × 674,637
  4. Step 4: Simplify right side
    448,498x = 455,135,081,769
  5. Step 5: Solve for x
    x = 455,135,081,769/448,498
  6. Step 6: Final answer
    x = 1,014,798.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.