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Finding the Third Proportional to 142,723.50 and 306,975

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Solution

The third proportional to 142,723.50 and 306,975 is: 660,253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,723.50 : 306,975 = 306,975 : x
  2. Step 2: Convert to fraction form
    142,723.50/306,975 = 306,975/x
  3. Step 3: Cross multiply
    142,723.50x = 306,975 × 306,975
  4. Step 4: Simplify right side
    142,723.50x = 94,233,650,625
  5. Step 5: Solve for x
    x = 94,233,650,625/142,723.50
  6. Step 6: Final answer
    x = 660,253.22

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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.