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Finding the Third Proportional to 53,252 and 83,535

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Solution

The third proportional to 53,252 and 83,535 is: 131,039.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,252 : 83,535 = 83,535 : x
  2. Step 2: Convert to fraction form
    53,252/83,535 = 83,535/x
  3. Step 3: Cross multiply
    53,252x = 83,535 × 83,535
  4. Step 4: Simplify right side
    53,252x = 6,978,096,225
  5. Step 5: Solve for x
    x = 6,978,096,225/53,252
  6. Step 6: Final answer
    x = 131,039.14

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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.