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Finding the Third Proportional to 71,203 and 155,706

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Solution

The third proportional to 71,203 and 155,706 is: 340,496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,203 : 155,706 = 155,706 : x
  2. Step 2: Convert to fraction form
    71,203/155,706 = 155,706/x
  3. Step 3: Cross multiply
    71,203x = 155,706 × 155,706
  4. Step 4: Simplify right side
    71,203x = 24,244,358,436
  5. Step 5: Solve for x
    x = 24,244,358,436/71,203
  6. Step 6: Final answer
    x = 340,496.31

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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.