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Finding the Third Proportional to 43,776 and 91,318

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Solution

The third proportional to 43,776 and 91,318 is: 190,491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,776 : 91,318 = 91,318 : x
  2. Step 2: Convert to fraction form
    43,776/91,318 = 91,318/x
  3. Step 3: Cross multiply
    43,776x = 91,318 × 91,318
  4. Step 4: Simplify right side
    43,776x = 8,338,977,124
  5. Step 5: Solve for x
    x = 8,338,977,124/43,776
  6. Step 6: Final answer
    x = 190,491.98

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.