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Finding the Third Proportional to 64,396 and 135,784

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Solution

The third proportional to 64,396 and 135,784 is: 286,311.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,396 : 135,784 = 135,784 : x
  2. Step 2: Convert to fraction form
    64,396/135,784 = 135,784/x
  3. Step 3: Cross multiply
    64,396x = 135,784 × 135,784
  4. Step 4: Simplify right side
    64,396x = 18,437,294,656
  5. Step 5: Solve for x
    x = 18,437,294,656/64,396
  6. Step 6: Final answer
    x = 286,311.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.