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Finding the Third Proportional to 454,476 and 988,756

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Solution

The third proportional to 454,476 and 988,756 is: 2,151,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,476 : 988,756 = 988,756 : x
  2. Step 2: Convert to fraction form
    454,476/988,756 = 988,756/x
  3. Step 3: Cross multiply
    454,476x = 988,756 × 988,756
  4. Step 4: Simplify right side
    454,476x = 977,638,427,536
  5. Step 5: Solve for x
    x = 977,638,427,536/454,476
  6. Step 6: Final answer
    x = 2,151,133.23

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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.