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Finding the Third Proportional to 135,732 and 315,270

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Solution

The third proportional to 135,732 and 315,270 is: 732,289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,732 : 315,270 = 315,270 : x
  2. Step 2: Convert to fraction form
    135,732/315,270 = 315,270/x
  3. Step 3: Cross multiply
    135,732x = 315,270 × 315,270
  4. Step 4: Simplify right side
    135,732x = 99,395,172,900
  5. Step 5: Solve for x
    x = 99,395,172,900/135,732
  6. Step 6: Final answer
    x = 732,289.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.