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Finding the Third Proportional to 42,241.50 and 91,783.13

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Solution

The third proportional to 42,241.50 and 91,783.13 is: 199,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,241.50 : 91,783.13 = 91,783.13 : x
  2. Step 2: Convert to fraction form
    42,241.50/91,783.13 = 91,783.13/x
  3. Step 3: Cross multiply
    42,241.50x = 91,783.13 × 91,783.13
  4. Step 4: Simplify right side
    42,241.50x = 8,424,142,034.77
  5. Step 5: Solve for x
    x = 8,424,142,034.77/42,241.50
  6. Step 6: Final answer
    x = 199,428.10

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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.