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Finding the Third Proportional to 1,076 and 1,202

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Solution

The third proportional to 1,076 and 1,202 is: 1,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076 : 1,202 = 1,202 : x
  2. Step 2: Convert to fraction form
    1,076/1,202 = 1,202/x
  3. Step 3: Cross multiply
    1,076x = 1,202 × 1,202
  4. Step 4: Simplify right side
    1,076x = 1,444,804
  5. Step 5: Solve for x
    x = 1,444,804/1,076
  6. Step 6: Final answer
    x = 1,342.75

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.