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Finding the Third Proportional to 5,290 and 7,781

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Solution

The third proportional to 5,290 and 7,781 is: 11,444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290 : 7,781 = 7,781 : x
  2. Step 2: Convert to fraction form
    5,290/7,781 = 7,781/x
  3. Step 3: Cross multiply
    5,290x = 7,781 × 7,781
  4. Step 4: Simplify right side
    5,290x = 60,543,961
  5. Step 5: Solve for x
    x = 60,543,961/5,290
  6. Step 6: Final answer
    x = 11,444.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.