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Finding the Third Proportional to 1,574.11 and 2,130.19

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Solution

The third proportional to 1,574.11 and 2,130.19 is: 2,882.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.11 : 2,130.19 = 2,130.19 : x
  2. Step 2: Convert to fraction form
    1,574.11/2,130.19 = 2,130.19/x
  3. Step 3: Cross multiply
    1,574.11x = 2,130.19 × 2,130.19
  4. Step 4: Simplify right side
    1,574.11x = 4,537,698.79
  5. Step 5: Solve for x
    x = 4,537,698.79/1,574.11
  6. Step 6: Final answer
    x = 2,882.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.