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Finding the Third Proportional to 356,877 and 484,449.75

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Solution

The third proportional to 356,877 and 484,449.75 is: 657,625.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,877 : 484,449.75 = 484,449.75 : x
  2. Step 2: Convert to fraction form
    356,877/484,449.75 = 484,449.75/x
  3. Step 3: Cross multiply
    356,877x = 484,449.75 × 484,449.75
  4. Step 4: Simplify right side
    356,877x = 234,691,560,275.06
  5. Step 5: Solve for x
    x = 234,691,560,275.06/356,877
  6. Step 6: Final answer
    x = 657,625.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.