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Finding the Third Proportional to 452,645 and 989,367

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Solution

The third proportional to 452,645 and 989,367 is: 2,162,504.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,645 : 989,367 = 989,367 : x
  2. Step 2: Convert to fraction form
    452,645/989,367 = 989,367/x
  3. Step 3: Cross multiply
    452,645x = 989,367 × 989,367
  4. Step 4: Simplify right side
    452,645x = 978,847,060,689
  5. Step 5: Solve for x
    x = 978,847,060,689/452,645
  6. Step 6: Final answer
    x = 2,162,504.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.