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Finding the Third Proportional to 144,763.50 and 318,975

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Solution

The third proportional to 144,763.50 and 318,975 is: 702,836.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,763.50 : 318,975 = 318,975 : x
  2. Step 2: Convert to fraction form
    144,763.50/318,975 = 318,975/x
  3. Step 3: Cross multiply
    144,763.50x = 318,975 × 318,975
  4. Step 4: Simplify right side
    144,763.50x = 101,745,050,625
  5. Step 5: Solve for x
    x = 101,745,050,625/144,763.50
  6. Step 6: Final answer
    x = 702,836.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.