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Finding the Third Proportional to 262,766 and 407,643

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Solution

The third proportional to 262,766 and 407,643 is: 632,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,766 : 407,643 = 407,643 : x
  2. Step 2: Convert to fraction form
    262,766/407,643 = 407,643/x
  3. Step 3: Cross multiply
    262,766x = 407,643 × 407,643
  4. Step 4: Simplify right side
    262,766x = 166,172,815,449
  5. Step 5: Solve for x
    x = 166,172,815,449/262,766
  6. Step 6: Final answer
    x = 632,398.47

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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.