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Finding the Third Proportional to 262,898 and 407,947

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Solution

The third proportional to 262,898 and 407,947 is: 633,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,898 : 407,947 = 407,947 : x
  2. Step 2: Convert to fraction form
    262,898/407,947 = 407,947/x
  3. Step 3: Cross multiply
    262,898x = 407,947 × 407,947
  4. Step 4: Simplify right side
    262,898x = 166,420,754,809
  5. Step 5: Solve for x
    x = 166,420,754,809/262,898
  6. Step 6: Final answer
    x = 633,024.04

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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.