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Finding the Third Proportional to 862 and 1,860.13

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Solution

The third proportional to 862 and 1,860.13 is: 4,014.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    862 : 1,860.13 = 1,860.13 : x
  2. Step 2: Convert to fraction form
    862/1,860.13 = 1,860.13/x
  3. Step 3: Cross multiply
    862x = 1,860.13 × 1,860.13
  4. Step 4: Simplify right side
    862x = 3,460,065.02
  5. Step 5: Solve for x
    x = 3,460,065.02/862
  6. Step 6: Final answer
    x = 4,014.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.