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Finding the Third Proportional to 386,380.13 and 829,892.25

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Solution

The third proportional to 386,380.13 and 829,892.25 is: 1,782,496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,380.13 : 829,892.25 = 829,892.25 : x
  2. Step 2: Convert to fraction form
    386,380.13/829,892.25 = 829,892.25/x
  3. Step 3: Cross multiply
    386,380.13x = 829,892.25 × 829,892.25
  4. Step 4: Simplify right side
    386,380.13x = 688,721,146,610.06
  5. Step 5: Solve for x
    x = 688,721,146,610.06/386,380.13
  6. Step 6: Final answer
    x = 1,782,496.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.