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Finding the Third Proportional to 448,414 and 680,924

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Solution

The third proportional to 448,414 and 680,924 is: 1,033,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,414 : 680,924 = 680,924 : x
  2. Step 2: Convert to fraction form
    448,414/680,924 = 680,924/x
  3. Step 3: Cross multiply
    448,414x = 680,924 × 680,924
  4. Step 4: Simplify right side
    448,414x = 463,657,493,776
  5. Step 5: Solve for x
    x = 463,657,493,776/448,414
  6. Step 6: Final answer
    x = 1,033,994.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.