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Finding the Third Proportional to 490,410 and 659,034

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Solution

The third proportional to 490,410 and 659,034 is: 885,638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,410 : 659,034 = 659,034 : x
  2. Step 2: Convert to fraction form
    490,410/659,034 = 659,034/x
  3. Step 3: Cross multiply
    490,410x = 659,034 × 659,034
  4. Step 4: Simplify right side
    490,410x = 434,325,813,156
  5. Step 5: Solve for x
    x = 434,325,813,156/490,410
  6. Step 6: Final answer
    x = 885,638.17

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.