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Finding the Third Proportional to 750.19 and 1,752.19

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Solution

The third proportional to 750.19 and 1,752.19 is: 4,092.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.19 : 1,752.19 = 1,752.19 : x
  2. Step 2: Convert to fraction form
    750.19/1,752.19 = 1,752.19/x
  3. Step 3: Cross multiply
    750.19x = 1,752.19 × 1,752.19
  4. Step 4: Simplify right side
    750.19x = 3,070,161.04
  5. Step 5: Solve for x
    x = 3,070,161.04/750.19
  6. Step 6: Final answer
    x = 4,092.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.