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Finding the Third Proportional to 42,062 and 92,308

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Solution

The third proportional to 42,062 and 92,308 is: 202,576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,062 : 92,308 = 92,308 : x
  2. Step 2: Convert to fraction form
    42,062/92,308 = 92,308/x
  3. Step 3: Cross multiply
    42,062x = 92,308 × 92,308
  4. Step 4: Simplify right side
    42,062x = 8,520,766,864
  5. Step 5: Solve for x
    x = 8,520,766,864/42,062
  6. Step 6: Final answer
    x = 202,576.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.