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Finding the Third Proportional to 82,062 and 128,565

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Solution

The third proportional to 82,062 and 128,565 is: 201,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,062 : 128,565 = 128,565 : x
  2. Step 2: Convert to fraction form
    82,062/128,565 = 128,565/x
  3. Step 3: Cross multiply
    82,062x = 128,565 × 128,565
  4. Step 4: Simplify right side
    82,062x = 16,528,959,225
  5. Step 5: Solve for x
    x = 16,528,959,225/82,062
  6. Step 6: Final answer
    x = 201,420.38

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Why These Related Problems?

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