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Finding the Third Proportional to 64,230.50 and 135,385

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Solution

The third proportional to 64,230.50 and 135,385 is: 285,364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,230.50 : 135,385 = 135,385 : x
  2. Step 2: Convert to fraction form
    64,230.50/135,385 = 135,385/x
  3. Step 3: Cross multiply
    64,230.50x = 135,385 × 135,385
  4. Step 4: Simplify right side
    64,230.50x = 18,329,098,225
  5. Step 5: Solve for x
    x = 18,329,098,225/64,230.50
  6. Step 6: Final answer
    x = 285,364.40

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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.