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Finding the Third Proportional to 1,742.13 and 3,075.79

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Solution

The third proportional to 1,742.13 and 3,075.79 is: 5,430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.13 : 3,075.79 = 3,075.79 : x
  2. Step 2: Convert to fraction form
    1,742.13/3,075.79 = 3,075.79/x
  3. Step 3: Cross multiply
    1,742.13x = 3,075.79 × 3,075.79
  4. Step 4: Simplify right side
    1,742.13x = 9,460,454.33
  5. Step 5: Solve for x
    x = 9,460,454.33/1,742.13
  6. Step 6: Final answer
    x = 5,430.39

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.