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Finding the Third Proportional to 265,696 and 394,780

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Solution

The third proportional to 265,696 and 394,780 is: 586,577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,696 : 394,780 = 394,780 : x
  2. Step 2: Convert to fraction form
    265,696/394,780 = 394,780/x
  3. Step 3: Cross multiply
    265,696x = 394,780 × 394,780
  4. Step 4: Simplify right side
    265,696x = 155,851,248,400
  5. Step 5: Solve for x
    x = 155,851,248,400/265,696
  6. Step 6: Final answer
    x = 586,577.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.