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Finding the Third Proportional to 85,584 and 133,032

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Solution

The third proportional to 85,584 and 133,032 is: 206,785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,584 : 133,032 = 133,032 : x
  2. Step 2: Convert to fraction form
    85,584/133,032 = 133,032/x
  3. Step 3: Cross multiply
    85,584x = 133,032 × 133,032
  4. Step 4: Simplify right side
    85,584x = 17,697,513,024
  5. Step 5: Solve for x
    x = 17,697,513,024/85,584
  6. Step 6: Final answer
    x = 206,785.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.