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Finding the Third Proportional to 425,905.88 and 910,905.75

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Solution

The third proportional to 425,905.88 and 910,905.75 is: 1,948,198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,905.88 : 910,905.75 = 910,905.75 : x
  2. Step 2: Convert to fraction form
    425,905.88/910,905.75 = 910,905.75/x
  3. Step 3: Cross multiply
    425,905.88x = 910,905.75 × 910,905.75
  4. Step 4: Simplify right side
    425,905.88x = 829,749,285,383.06
  5. Step 5: Solve for x
    x = 829,749,285,383.06/425,905.88
  6. Step 6: Final answer
    x = 1,948,198.73

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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.