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Finding the Third Proportional to 448,414.50 and 680,925

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Solution

The third proportional to 448,414.50 and 680,925 is: 1,033,996.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,414.50 : 680,925 = 680,925 : x
  2. Step 2: Convert to fraction form
    448,414.50/680,925 = 680,925/x
  3. Step 3: Cross multiply
    448,414.50x = 680,925 × 680,925
  4. Step 4: Simplify right side
    448,414.50x = 463,658,855,625
  5. Step 5: Solve for x
    x = 463,658,855,625/448,414.50
  6. Step 6: Final answer
    x = 1,033,996.13

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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.