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Finding the Third Proportional to 355,677.75 and 857,175.75

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Solution

The third proportional to 355,677.75 and 857,175.75 is: 2,065,775.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,677.75 : 857,175.75 = 857,175.75 : x
  2. Step 2: Convert to fraction form
    355,677.75/857,175.75 = 857,175.75/x
  3. Step 3: Cross multiply
    355,677.75x = 857,175.75 × 857,175.75
  4. Step 4: Simplify right side
    355,677.75x = 734,750,266,388.06
  5. Step 5: Solve for x
    x = 734,750,266,388.06/355,677.75
  6. Step 6: Final answer
    x = 2,065,775.18

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.