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Finding the Third Proportional to 378,216 and 806,970

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Solution

The third proportional to 378,216 and 806,970 is: 1,721,768.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,216 : 806,970 = 806,970 : x
  2. Step 2: Convert to fraction form
    378,216/806,970 = 806,970/x
  3. Step 3: Cross multiply
    378,216x = 806,970 × 806,970
  4. Step 4: Simplify right side
    378,216x = 651,200,580,900
  5. Step 5: Solve for x
    x = 651,200,580,900/378,216
  6. Step 6: Final answer
    x = 1,721,768.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.