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Finding the Third Proportional to 750.88 and 1,640.13

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Solution

The third proportional to 750.88 and 1,640.13 is: 3,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.88 : 1,640.13 = 1,640.13 : x
  2. Step 2: Convert to fraction form
    750.88/1,640.13 = 1,640.13/x
  3. Step 3: Cross multiply
    750.88x = 1,640.13 × 1,640.13
  4. Step 4: Simplify right side
    750.88x = 2,690,010.02
  5. Step 5: Solve for x
    x = 2,690,010.02/750.88
  6. Step 6: Final answer
    x = 3,582.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.