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Finding the Third Proportional to 426,876.75 and 909,057

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Solution

The third proportional to 426,876.75 and 909,057 is: 1,935,885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,876.75 : 909,057 = 909,057 : x
  2. Step 2: Convert to fraction form
    426,876.75/909,057 = 909,057/x
  3. Step 3: Cross multiply
    426,876.75x = 909,057 × 909,057
  4. Step 4: Simplify right side
    426,876.75x = 826,384,629,249
  5. Step 5: Solve for x
    x = 826,384,629,249/426,876.75
  6. Step 6: Final answer
    x = 1,935,885.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.