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Finding the Third Proportional to 538,869 and 898,074

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Solution

The third proportional to 538,869 and 898,074 is: 1,496,721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,869 : 898,074 = 898,074 : x
  2. Step 2: Convert to fraction form
    538,869/898,074 = 898,074/x
  3. Step 3: Cross multiply
    538,869x = 898,074 × 898,074
  4. Step 4: Simplify right side
    538,869x = 806,536,909,476
  5. Step 5: Solve for x
    x = 806,536,909,476/538,869
  6. Step 6: Final answer
    x = 1,496,721.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.