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Finding the Third Proportional to 1,945.13 and 2,989.69

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Solution

The third proportional to 1,945.13 and 2,989.69 is: 4,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.13 : 2,989.69 = 2,989.69 : x
  2. Step 2: Convert to fraction form
    1,945.13/2,989.69 = 2,989.69/x
  3. Step 3: Cross multiply
    1,945.13x = 2,989.69 × 2,989.69
  4. Step 4: Simplify right side
    1,945.13x = 8,938,231.35
  5. Step 5: Solve for x
    x = 8,938,231.35/1,945.13
  6. Step 6: Final answer
    x = 4,595.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.