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Finding the Third Proportional to 135,144 and 287,784

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Solution

The third proportional to 135,144 and 287,784 is: 612,825.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,144 : 287,784 = 287,784 : x
  2. Step 2: Convert to fraction form
    135,144/287,784 = 287,784/x
  3. Step 3: Cross multiply
    135,144x = 287,784 × 287,784
  4. Step 4: Simplify right side
    135,144x = 82,819,630,656
  5. Step 5: Solve for x
    x = 82,819,630,656/135,144
  6. Step 6: Final answer
    x = 612,825.07

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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.