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Finding the Third Proportional to 491,619.38 and 772,500.80

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Solution

The third proportional to 491,619.38 and 772,500.80 is: 1,213,860.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,619.38 : 772,500.80 = 772,500.80 : x
  2. Step 2: Convert to fraction form
    491,619.38/772,500.80 = 772,500.80/x
  3. Step 3: Cross multiply
    491,619.38x = 772,500.80 × 772,500.80
  4. Step 4: Simplify right side
    491,619.38x = 596,757,481,172.51
  5. Step 5: Solve for x
    x = 596,757,481,172.51/491,619.38
  6. Step 6: Final answer
    x = 1,213,860.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.