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Finding the Third Proportional to 142,057.50 and 306,255

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Solution

The third proportional to 142,057.50 and 306,255 is: 660,240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,057.50 : 306,255 = 306,255 : x
  2. Step 2: Convert to fraction form
    142,057.50/306,255 = 306,255/x
  3. Step 3: Cross multiply
    142,057.50x = 306,255 × 306,255
  4. Step 4: Simplify right side
    142,057.50x = 93,792,125,025
  5. Step 5: Solve for x
    x = 93,792,125,025/142,057.50
  6. Step 6: Final answer
    x = 660,240.57

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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.