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Finding the Third Proportional to 311,937 and 465,826

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Solution

The third proportional to 311,937 and 465,826 is: 695,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,937 : 465,826 = 465,826 : x
  2. Step 2: Convert to fraction form
    311,937/465,826 = 465,826/x
  3. Step 3: Cross multiply
    311,937x = 465,826 × 465,826
  4. Step 4: Simplify right side
    311,937x = 216,993,862,276
  5. Step 5: Solve for x
    x = 216,993,862,276/311,937
  6. Step 6: Final answer
    x = 695,633.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.