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Finding the Third Proportional to 3,809.95 and 5,437.76

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Solution

The third proportional to 3,809.95 and 5,437.76 is: 7,761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.95 : 5,437.76 = 5,437.76 : x
  2. Step 2: Convert to fraction form
    3,809.95/5,437.76 = 5,437.76/x
  3. Step 3: Cross multiply
    3,809.95x = 5,437.76 × 5,437.76
  4. Step 4: Simplify right side
    3,809.95x = 29,569,210.03
  5. Step 5: Solve for x
    x = 29,569,210.03/3,809.95
  6. Step 6: Final answer
    x = 7,761.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.