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Finding the Third Proportional to 454,116 and 687,462

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Solution

The third proportional to 454,116 and 687,462 is: 1,040,712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,116 : 687,462 = 687,462 : x
  2. Step 2: Convert to fraction form
    454,116/687,462 = 687,462/x
  3. Step 3: Cross multiply
    454,116x = 687,462 × 687,462
  4. Step 4: Simplify right side
    454,116x = 472,604,001,444
  5. Step 5: Solve for x
    x = 472,604,001,444/454,116
  6. Step 6: Final answer
    x = 1,040,712.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.