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Finding the Third Proportional to 262,872 and 407,790

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Solution

The third proportional to 262,872 and 407,790 is: 632,599.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,872 : 407,790 = 407,790 : x
  2. Step 2: Convert to fraction form
    262,872/407,790 = 407,790/x
  3. Step 3: Cross multiply
    262,872x = 407,790 × 407,790
  4. Step 4: Simplify right side
    262,872x = 166,292,684,100
  5. Step 5: Solve for x
    x = 166,292,684,100/262,872
  6. Step 6: Final answer
    x = 632,599.46

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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.