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Finding the Third Proportional to 71,683.50 and 155,829

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Solution

The third proportional to 71,683.50 and 155,829 is: 338,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,683.50 : 155,829 = 155,829 : x
  2. Step 2: Convert to fraction form
    71,683.50/155,829 = 155,829/x
  3. Step 3: Cross multiply
    71,683.50x = 155,829 × 155,829
  4. Step 4: Simplify right side
    71,683.50x = 24,282,677,241
  5. Step 5: Solve for x
    x = 24,282,677,241/71,683.50
  6. Step 6: Final answer
    x = 338,748.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.