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Finding the Third Proportional to 1,540.13 and 1,681.88

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Solution

The third proportional to 1,540.13 and 1,681.88 is: 1,836.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.13 : 1,681.88 = 1,681.88 : x
  2. Step 2: Convert to fraction form
    1,540.13/1,681.88 = 1,681.88/x
  3. Step 3: Cross multiply
    1,540.13x = 1,681.88 × 1,681.88
  4. Step 4: Simplify right side
    1,540.13x = 2,828,703.52
  5. Step 5: Solve for x
    x = 2,828,703.52/1,540.13
  6. Step 6: Final answer
    x = 1,836.67

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.