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Finding the Third Proportional to 453,478 and 989,845

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Solution

The third proportional to 453,478 and 989,845 is: 2,160,618.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,478 : 989,845 = 989,845 : x
  2. Step 2: Convert to fraction form
    453,478/989,845 = 989,845/x
  3. Step 3: Cross multiply
    453,478x = 989,845 × 989,845
  4. Step 4: Simplify right side
    453,478x = 979,793,124,025
  5. Step 5: Solve for x
    x = 979,793,124,025/453,478
  6. Step 6: Final answer
    x = 2,160,618.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.