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Finding the Third Proportional to 449,460 and 989,316

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Solution

The third proportional to 449,460 and 989,316 is: 2,177,604.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,460 : 989,316 = 989,316 : x
  2. Step 2: Convert to fraction form
    449,460/989,316 = 989,316/x
  3. Step 3: Cross multiply
    449,460x = 989,316 × 989,316
  4. Step 4: Simplify right side
    449,460x = 978,746,147,856
  5. Step 5: Solve for x
    x = 978,746,147,856/449,460
  6. Step 6: Final answer
    x = 2,177,604.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.