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Finding the Third Proportional to 38,666 and 51,411

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Solution

The third proportional to 38,666 and 51,411 is: 68,356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,666 : 51,411 = 51,411 : x
  2. Step 2: Convert to fraction form
    38,666/51,411 = 51,411/x
  3. Step 3: Cross multiply
    38,666x = 51,411 × 51,411
  4. Step 4: Simplify right side
    38,666x = 2,643,090,921
  5. Step 5: Solve for x
    x = 2,643,090,921/38,666
  6. Step 6: Final answer
    x = 68,356.98

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.