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Finding the Third Proportional to 63,584 and 135,610

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Solution

The third proportional to 63,584 and 135,610 is: 289,224.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,584 : 135,610 = 135,610 : x
  2. Step 2: Convert to fraction form
    63,584/135,610 = 135,610/x
  3. Step 3: Cross multiply
    63,584x = 135,610 × 135,610
  4. Step 4: Simplify right side
    63,584x = 18,390,072,100
  5. Step 5: Solve for x
    x = 18,390,072,100/63,584
  6. Step 6: Final answer
    x = 289,224.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.