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Finding the Third Proportional to 454,770 and 990,220.78

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Solution

The third proportional to 454,770 and 990,220.78 is: 2,156,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,770 : 990,220.78 = 990,220.78 : x
  2. Step 2: Convert to fraction form
    454,770/990,220.78 = 990,220.78/x
  3. Step 3: Cross multiply
    454,770x = 990,220.78 × 990,220.78
  4. Step 4: Simplify right side
    454,770x = 980,537,195,619.36
  5. Step 5: Solve for x
    x = 980,537,195,619.36/454,770
  6. Step 6: Final answer
    x = 2,156,116.71

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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.