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Finding the Third Proportional to 42,462.38 and 86,767.50

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Solution

The third proportional to 42,462.38 and 86,767.50 is: 177,300.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,462.38 : 86,767.50 = 86,767.50 : x
  2. Step 2: Convert to fraction form
    42,462.38/86,767.50 = 86,767.50/x
  3. Step 3: Cross multiply
    42,462.38x = 86,767.50 × 86,767.50
  4. Step 4: Simplify right side
    42,462.38x = 7,528,599,056.25
  5. Step 5: Solve for x
    x = 7,528,599,056.25/42,462.38
  6. Step 6: Final answer
    x = 177,300.47

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.