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Finding the Third Proportional to 92,282 and 201,238.50

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Solution

The third proportional to 92,282 and 201,238.50 is: 438,838.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,282 : 201,238.50 = 201,238.50 : x
  2. Step 2: Convert to fraction form
    92,282/201,238.50 = 201,238.50/x
  3. Step 3: Cross multiply
    92,282x = 201,238.50 × 201,238.50
  4. Step 4: Simplify right side
    92,282x = 40,496,933,882.25
  5. Step 5: Solve for x
    x = 40,496,933,882.25/92,282
  6. Step 6: Final answer
    x = 438,838.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.