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Finding the Third Proportional to 425,904 and 910,903

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Solution

The third proportional to 425,904 and 910,903 is: 1,948,195.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,904 : 910,903 = 910,903 : x
  2. Step 2: Convert to fraction form
    425,904/910,903 = 910,903/x
  3. Step 3: Cross multiply
    425,904x = 910,903 × 910,903
  4. Step 4: Simplify right side
    425,904x = 829,744,275,409
  5. Step 5: Solve for x
    x = 829,744,275,409/425,904
  6. Step 6: Final answer
    x = 1,948,195.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.