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Finding the Third Proportional to 1,352.11 and 1,968.68

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Solution

The third proportional to 1,352.11 and 1,968.68 is: 2,866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.11 : 1,968.68 = 1,968.68 : x
  2. Step 2: Convert to fraction form
    1,352.11/1,968.68 = 1,968.68/x
  3. Step 3: Cross multiply
    1,352.11x = 1,968.68 × 1,968.68
  4. Step 4: Simplify right side
    1,352.11x = 3,875,699.71
  5. Step 5: Solve for x
    x = 3,875,699.71/1,352.11
  6. Step 6: Final answer
    x = 2,866.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.