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Finding the Third Proportional to 1,062.56 and 1,950.47

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Solution

The third proportional to 1,062.56 and 1,950.47 is: 3,580.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.56 : 1,950.47 = 1,950.47 : x
  2. Step 2: Convert to fraction form
    1,062.56/1,950.47 = 1,950.47/x
  3. Step 3: Cross multiply
    1,062.56x = 1,950.47 × 1,950.47
  4. Step 4: Simplify right side
    1,062.56x = 3,804,328.34
  5. Step 5: Solve for x
    x = 3,804,328.34/1,062.56
  6. Step 6: Final answer
    x = 3,580.33

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.