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Finding the Third Proportional to 1,729.13 and 2,681.75

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Solution

The third proportional to 1,729.13 and 2,681.75 is: 4,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.13 : 2,681.75 = 2,681.75 : x
  2. Step 2: Convert to fraction form
    1,729.13/2,681.75 = 2,681.75/x
  3. Step 3: Cross multiply
    1,729.13x = 2,681.75 × 2,681.75
  4. Step 4: Simplify right side
    1,729.13x = 7,191,783.06
  5. Step 5: Solve for x
    x = 7,191,783.06/1,729.13
  6. Step 6: Final answer
    x = 4,159.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.