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Finding the Third Proportional to 657,314.25 and 990,297.75

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Solution

The third proportional to 657,314.25 and 990,297.75 is: 1,491,964.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,314.25 : 990,297.75 = 990,297.75 : x
  2. Step 2: Convert to fraction form
    657,314.25/990,297.75 = 990,297.75/x
  3. Step 3: Cross multiply
    657,314.25x = 990,297.75 × 990,297.75
  4. Step 4: Simplify right side
    657,314.25x = 980,689,633,655.06
  5. Step 5: Solve for x
    x = 980,689,633,655.06/657,314.25
  6. Step 6: Final answer
    x = 1,491,964.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.