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Finding the Third Proportional to 1,319.50 and 2,562.50

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Solution

The third proportional to 1,319.50 and 2,562.50 is: 4,976.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.50 : 2,562.50 = 2,562.50 : x
  2. Step 2: Convert to fraction form
    1,319.50/2,562.50 = 2,562.50/x
  3. Step 3: Cross multiply
    1,319.50x = 2,562.50 × 2,562.50
  4. Step 4: Simplify right side
    1,319.50x = 6,566,406.25
  5. Step 5: Solve for x
    x = 6,566,406.25/1,319.50
  6. Step 6: Final answer
    x = 4,976.44

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.