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Finding the Third Proportional to 313,906 and 442,246

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Solution

The third proportional to 313,906 and 442,246 is: 623,057.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,906 : 442,246 = 442,246 : x
  2. Step 2: Convert to fraction form
    313,906/442,246 = 442,246/x
  3. Step 3: Cross multiply
    313,906x = 442,246 × 442,246
  4. Step 4: Simplify right side
    313,906x = 195,581,524,516
  5. Step 5: Solve for x
    x = 195,581,524,516/313,906
  6. Step 6: Final answer
    x = 623,057.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.