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Finding the Third Proportional to 169,348 and 378,792

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Solution

The third proportional to 169,348 and 378,792 is: 847,269.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,348 : 378,792 = 378,792 : x
  2. Step 2: Convert to fraction form
    169,348/378,792 = 378,792/x
  3. Step 3: Cross multiply
    169,348x = 378,792 × 378,792
  4. Step 4: Simplify right side
    169,348x = 143,483,379,264
  5. Step 5: Solve for x
    x = 143,483,379,264/169,348
  6. Step 6: Final answer
    x = 847,269.41

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.