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Finding the Third Proportional to 486,116 and 654,406

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Solution

The third proportional to 486,116 and 654,406 is: 880,956.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,116 : 654,406 = 654,406 : x
  2. Step 2: Convert to fraction form
    486,116/654,406 = 654,406/x
  3. Step 3: Cross multiply
    486,116x = 654,406 × 654,406
  4. Step 4: Simplify right side
    486,116x = 428,247,212,836
  5. Step 5: Solve for x
    x = 428,247,212,836/486,116
  6. Step 6: Final answer
    x = 880,956.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.