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Finding the Third Proportional to 440,904 and 681,462

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Solution

The third proportional to 440,904 and 681,462 is: 1,053,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,904 : 681,462 = 681,462 : x
  2. Step 2: Convert to fraction form
    440,904/681,462 = 681,462/x
  3. Step 3: Cross multiply
    440,904x = 681,462 × 681,462
  4. Step 4: Simplify right side
    440,904x = 464,390,457,444
  5. Step 5: Solve for x
    x = 464,390,457,444/440,904
  6. Step 6: Final answer
    x = 1,053,268.87

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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.