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Finding the Third Proportional to 82,070 and 128,578

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Solution

The third proportional to 82,070 and 128,578 is: 201,441.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,070 : 128,578 = 128,578 : x
  2. Step 2: Convert to fraction form
    82,070/128,578 = 128,578/x
  3. Step 3: Cross multiply
    82,070x = 128,578 × 128,578
  4. Step 4: Simplify right side
    82,070x = 16,532,302,084
  5. Step 5: Solve for x
    x = 16,532,302,084/82,070
  6. Step 6: Final answer
    x = 201,441.48

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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.