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Finding the Third Proportional to 42,927.75 and 93,240.84

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Solution

The third proportional to 42,927.75 and 93,240.84 is: 202,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,927.75 : 93,240.84 = 93,240.84 : x
  2. Step 2: Convert to fraction form
    42,927.75/93,240.84 = 93,240.84/x
  3. Step 3: Cross multiply
    42,927.75x = 93,240.84 × 93,240.84
  4. Step 4: Simplify right side
    42,927.75x = 8,693,854,943.21
  5. Step 5: Solve for x
    x = 8,693,854,943.21/42,927.75
  6. Step 6: Final answer
    x = 202,522.96

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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.