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Finding the Third Proportional to 391,725 and 857,254

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Solution

The third proportional to 391,725 and 857,254 is: 1,876,021.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,725 : 857,254 = 857,254 : x
  2. Step 2: Convert to fraction form
    391,725/857,254 = 857,254/x
  3. Step 3: Cross multiply
    391,725x = 857,254 × 857,254
  4. Step 4: Simplify right side
    391,725x = 734,884,420,516
  5. Step 5: Solve for x
    x = 734,884,420,516/391,725
  6. Step 6: Final answer
    x = 1,876,021.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.