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Finding the Third Proportional to 202,378 and 312,692

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Solution

The third proportional to 202,378 and 312,692 is: 483,136.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,378 : 312,692 = 312,692 : x
  2. Step 2: Convert to fraction form
    202,378/312,692 = 312,692/x
  3. Step 3: Cross multiply
    202,378x = 312,692 × 312,692
  4. Step 4: Simplify right side
    202,378x = 97,776,286,864
  5. Step 5: Solve for x
    x = 97,776,286,864/202,378
  6. Step 6: Final answer
    x = 483,136.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.