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Finding the Third Proportional to 1,638.77 and 3,437.65

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Solution

The third proportional to 1,638.77 and 3,437.65 is: 7,211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.77 : 3,437.65 = 3,437.65 : x
  2. Step 2: Convert to fraction form
    1,638.77/3,437.65 = 3,437.65/x
  3. Step 3: Cross multiply
    1,638.77x = 3,437.65 × 3,437.65
  4. Step 4: Simplify right side
    1,638.77x = 11,817,426.78
  5. Step 5: Solve for x
    x = 11,817,426.78/1,638.77
  6. Step 6: Final answer
    x = 7,211.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.