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Finding the Third Proportional to 490,833 and 662,958

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Solution

The third proportional to 490,833 and 662,958 is: 895,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,833 : 662,958 = 662,958 : x
  2. Step 2: Convert to fraction form
    490,833/662,958 = 662,958/x
  3. Step 3: Cross multiply
    490,833x = 662,958 × 662,958
  4. Step 4: Simplify right side
    490,833x = 439,513,309,764
  5. Step 5: Solve for x
    x = 439,513,309,764/490,833
  6. Step 6: Final answer
    x = 895,443.68

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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.