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Finding the Third Proportional to 312,516 and 442,494

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Solution

The third proportional to 312,516 and 442,494 is: 626,530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,516 : 442,494 = 442,494 : x
  2. Step 2: Convert to fraction form
    312,516/442,494 = 442,494/x
  3. Step 3: Cross multiply
    312,516x = 442,494 × 442,494
  4. Step 4: Simplify right side
    312,516x = 195,800,940,036
  5. Step 5: Solve for x
    x = 195,800,940,036/312,516
  6. Step 6: Final answer
    x = 626,530.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.