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Finding the Third Proportional to 38,390 and 51,867

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Solution

The third proportional to 38,390 and 51,867 is: 70,075.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,390 : 51,867 = 51,867 : x
  2. Step 2: Convert to fraction form
    38,390/51,867 = 51,867/x
  3. Step 3: Cross multiply
    38,390x = 51,867 × 51,867
  4. Step 4: Simplify right side
    38,390x = 2,690,185,689
  5. Step 5: Solve for x
    x = 2,690,185,689/38,390
  6. Step 6: Final answer
    x = 70,075.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.