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Finding the Third Proportional to 391,356 and 849,634

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Solution

The third proportional to 391,356 and 849,634 is: 1,844,555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,356 : 849,634 = 849,634 : x
  2. Step 2: Convert to fraction form
    391,356/849,634 = 849,634/x
  3. Step 3: Cross multiply
    391,356x = 849,634 × 849,634
  4. Step 4: Simplify right side
    391,356x = 721,877,933,956
  5. Step 5: Solve for x
    x = 721,877,933,956/391,356
  6. Step 6: Final answer
    x = 1,844,555.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.