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Finding the Third Proportional to 427,065.75 and 643,393.13

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Solution

The third proportional to 427,065.75 and 643,393.13 is: 969,299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,065.75 : 643,393.13 = 643,393.13 : x
  2. Step 2: Convert to fraction form
    427,065.75/643,393.13 = 643,393.13/x
  3. Step 3: Cross multiply
    427,065.75x = 643,393.13 × 643,393.13
  4. Step 4: Simplify right side
    427,065.75x = 413,954,713,297.27
  5. Step 5: Solve for x
    x = 413,954,713,297.27/427,065.75
  6. Step 6: Final answer
    x = 969,299.72

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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.