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Finding the Third Proportional to 750.94 and 1,638.28

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Solution

The third proportional to 750.94 and 1,638.28 is: 3,574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.94 : 1,638.28 = 1,638.28 : x
  2. Step 2: Convert to fraction form
    750.94/1,638.28 = 1,638.28/x
  3. Step 3: Cross multiply
    750.94x = 1,638.28 × 1,638.28
  4. Step 4: Simplify right side
    750.94x = 2,683,965.45
  5. Step 5: Solve for x
    x = 2,683,965.45/750.94
  6. Step 6: Final answer
    x = 3,574.15

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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.