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Finding the Third Proportional to 42,110 and 91,302.50

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Solution

The third proportional to 42,110 and 91,302.50 is: 197,961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,110 : 91,302.50 = 91,302.50 : x
  2. Step 2: Convert to fraction form
    42,110/91,302.50 = 91,302.50/x
  3. Step 3: Cross multiply
    42,110x = 91,302.50 × 91,302.50
  4. Step 4: Simplify right side
    42,110x = 8,336,146,506.25
  5. Step 5: Solve for x
    x = 8,336,146,506.25/42,110
  6. Step 6: Final answer
    x = 197,961.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.