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Finding the Third Proportional to 92,666 and 153,377

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Solution

The third proportional to 92,666 and 153,377 is: 253,863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,666 : 153,377 = 153,377 : x
  2. Step 2: Convert to fraction form
    92,666/153,377 = 153,377/x
  3. Step 3: Cross multiply
    92,666x = 153,377 × 153,377
  4. Step 4: Simplify right side
    92,666x = 23,524,504,129
  5. Step 5: Solve for x
    x = 23,524,504,129/92,666
  6. Step 6: Final answer
    x = 253,863.38

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.