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Finding the Third Proportional to 234,728 and 318,920

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Solution

The third proportional to 234,728 and 318,920 is: 433,309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,728 : 318,920 = 318,920 : x
  2. Step 2: Convert to fraction form
    234,728/318,920 = 318,920/x
  3. Step 3: Cross multiply
    234,728x = 318,920 × 318,920
  4. Step 4: Simplify right side
    234,728x = 101,709,966,400
  5. Step 5: Solve for x
    x = 101,709,966,400/234,728
  6. Step 6: Final answer
    x = 433,309.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.