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Finding the Third Proportional to 391,036 and 856,815

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Solution

The third proportional to 391,036 and 856,815 is: 1,877,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,036 : 856,815 = 856,815 : x
  2. Step 2: Convert to fraction form
    391,036/856,815 = 856,815/x
  3. Step 3: Cross multiply
    391,036x = 856,815 × 856,815
  4. Step 4: Simplify right side
    391,036x = 734,131,944,225
  5. Step 5: Solve for x
    x = 734,131,944,225/391,036
  6. Step 6: Final answer
    x = 1,877,402.45

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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.