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Finding the Third Proportional to 448,490 and 674,031

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Solution

The third proportional to 448,490 and 674,031 is: 1,012,994.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,490 : 674,031 = 674,031 : x
  2. Step 2: Convert to fraction form
    448,490/674,031 = 674,031/x
  3. Step 3: Cross multiply
    448,490x = 674,031 × 674,031
  4. Step 4: Simplify right side
    448,490x = 454,317,788,961
  5. Step 5: Solve for x
    x = 454,317,788,961/448,490
  6. Step 6: Final answer
    x = 1,012,994.25

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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.