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Finding the Third Proportional to 417,750 and 609,021

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Solution

The third proportional to 417,750 and 609,021 is: 887,867.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,750 : 609,021 = 609,021 : x
  2. Step 2: Convert to fraction form
    417,750/609,021 = 609,021/x
  3. Step 3: Cross multiply
    417,750x = 609,021 × 609,021
  4. Step 4: Simplify right side
    417,750x = 370,906,578,441
  5. Step 5: Solve for x
    x = 370,906,578,441/417,750
  6. Step 6: Final answer
    x = 887,867.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.