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Finding the Third Proportional to 395,139 and 564,645

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Solution

The third proportional to 395,139 and 564,645 is: 806,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,139 : 564,645 = 564,645 : x
  2. Step 2: Convert to fraction form
    395,139/564,645 = 564,645/x
  3. Step 3: Cross multiply
    395,139x = 564,645 × 564,645
  4. Step 4: Simplify right side
    395,139x = 318,823,976,025
  5. Step 5: Solve for x
    x = 318,823,976,025/395,139
  6. Step 6: Final answer
    x = 806,865.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.