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Finding the Third Proportional to 399,135 and 857,319

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Solution

The third proportional to 399,135 and 857,319 is: 1,841,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,135 : 857,319 = 857,319 : x
  2. Step 2: Convert to fraction form
    399,135/857,319 = 857,319/x
  3. Step 3: Cross multiply
    399,135x = 857,319 × 857,319
  4. Step 4: Simplify right side
    399,135x = 734,995,867,761
  5. Step 5: Solve for x
    x = 734,995,867,761/399,135
  6. Step 6: Final answer
    x = 1,841,471.85

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