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Finding the Third Proportional to 128,282 and 201,231.50

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Solution

The third proportional to 128,282 and 201,231.50 is: 315,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,282 : 201,231.50 = 201,231.50 : x
  2. Step 2: Convert to fraction form
    128,282/201,231.50 = 201,231.50/x
  3. Step 3: Cross multiply
    128,282x = 201,231.50 × 201,231.50
  4. Step 4: Simplify right side
    128,282x = 40,494,116,592.25
  5. Step 5: Solve for x
    x = 40,494,116,592.25/128,282
  6. Step 6: Final answer
    x = 315,664.84

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.