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Finding the Third Proportional to 66,152.50 and 142,289

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Solution

The third proportional to 66,152.50 and 142,289 is: 306,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,152.50 : 142,289 = 142,289 : x
  2. Step 2: Convert to fraction form
    66,152.50/142,289 = 142,289/x
  3. Step 3: Cross multiply
    66,152.50x = 142,289 × 142,289
  4. Step 4: Simplify right side
    66,152.50x = 20,246,159,521
  5. Step 5: Solve for x
    x = 20,246,159,521/66,152.50
  6. Step 6: Final answer
    x = 306,052.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.