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Finding the Third Proportional to 135,114 and 287,724

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Solution

The third proportional to 135,114 and 287,724 is: 612,705.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,114 : 287,724 = 287,724 : x
  2. Step 2: Convert to fraction form
    135,114/287,724 = 287,724/x
  3. Step 3: Cross multiply
    135,114x = 287,724 × 287,724
  4. Step 4: Simplify right side
    135,114x = 82,785,100,176
  5. Step 5: Solve for x
    x = 82,785,100,176/135,114
  6. Step 6: Final answer
    x = 612,705.57

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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.