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Finding the Third Proportional to 71,017.31 and 155,397.09

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Solution

The third proportional to 71,017.31 and 155,397.09 is: 340,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,017.31 : 155,397.09 = 155,397.09 : x
  2. Step 2: Convert to fraction form
    71,017.31/155,397.09 = 155,397.09/x
  3. Step 3: Cross multiply
    71,017.31x = 155,397.09 × 155,397.09
  4. Step 4: Simplify right side
    71,017.31x = 24,148,256,745.95
  5. Step 5: Solve for x
    x = 24,148,256,745.95/71,017.31
  6. Step 6: Final answer
    x = 340,033.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.