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Finding the Third Proportional to 577,678 and 898,021

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Solution

The third proportional to 577,678 and 898,021 is: 1,396,005.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,678 : 898,021 = 898,021 : x
  2. Step 2: Convert to fraction form
    577,678/898,021 = 898,021/x
  3. Step 3: Cross multiply
    577,678x = 898,021 × 898,021
  4. Step 4: Simplify right side
    577,678x = 806,441,716,441
  5. Step 5: Solve for x
    x = 806,441,716,441/577,678
  6. Step 6: Final answer
    x = 1,396,005.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.