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Finding the Third Proportional to 1,069.88 and 1,352.81

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Solution

The third proportional to 1,069.88 and 1,352.81 is: 1,710.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.88 : 1,352.81 = 1,352.81 : x
  2. Step 2: Convert to fraction form
    1,069.88/1,352.81 = 1,352.81/x
  3. Step 3: Cross multiply
    1,069.88x = 1,352.81 × 1,352.81
  4. Step 4: Simplify right side
    1,069.88x = 1,830,101.66
  5. Step 5: Solve for x
    x = 1,830,101.66/1,069.88
  6. Step 6: Final answer
    x = 1,710.58

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.