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Finding the Third Proportional to 577,861 and 898,265

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Solution

The third proportional to 577,861 and 898,265 is: 1,396,321.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,861 : 898,265 = 898,265 : x
  2. Step 2: Convert to fraction form
    577,861/898,265 = 898,265/x
  3. Step 3: Cross multiply
    577,861x = 898,265 × 898,265
  4. Step 4: Simplify right side
    577,861x = 806,880,010,225
  5. Step 5: Solve for x
    x = 806,880,010,225/577,861
  6. Step 6: Final answer
    x = 1,396,321.97

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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.