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Finding the Third Proportional to 425,908 and 910,910.50

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Solution

The third proportional to 425,908 and 910,910.50 is: 1,948,209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,908 : 910,910.50 = 910,910.50 : x
  2. Step 2: Convert to fraction form
    425,908/910,910.50 = 910,910.50/x
  3. Step 3: Cross multiply
    425,908x = 910,910.50 × 910,910.50
  4. Step 4: Simplify right side
    425,908x = 829,757,939,010.25
  5. Step 5: Solve for x
    x = 829,757,939,010.25/425,908
  6. Step 6: Final answer
    x = 1,948,209.33

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