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Finding the Third Proportional to 142,017.75 and 306,175.50

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Solution

The third proportional to 142,017.75 and 306,175.50 is: 660,082.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,017.75 : 306,175.50 = 306,175.50 : x
  2. Step 2: Convert to fraction form
    142,017.75/306,175.50 = 306,175.50/x
  3. Step 3: Cross multiply
    142,017.75x = 306,175.50 × 306,175.50
  4. Step 4: Simplify right side
    142,017.75x = 93,743,436,800.25
  5. Step 5: Solve for x
    x = 93,743,436,800.25/142,017.75
  6. Step 6: Final answer
    x = 660,082.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.