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Finding the Third Proportional to 234,636 and 318,792

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Solution

The third proportional to 234,636 and 318,792 is: 433,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,636 : 318,792 = 318,792 : x
  2. Step 2: Convert to fraction form
    234,636/318,792 = 318,792/x
  3. Step 3: Cross multiply
    234,636x = 318,792 × 318,792
  4. Step 4: Simplify right side
    234,636x = 101,628,339,264
  5. Step 5: Solve for x
    x = 101,628,339,264/234,636
  6. Step 6: Final answer
    x = 433,131.91

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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.