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Finding the Third Proportional to 454,472 and 988,748

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Solution

The third proportional to 454,472 and 988,748 is: 2,151,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,472 : 988,748 = 988,748 : x
  2. Step 2: Convert to fraction form
    454,472/988,748 = 988,748/x
  3. Step 3: Cross multiply
    454,472x = 988,748 × 988,748
  4. Step 4: Simplify right side
    454,472x = 977,622,607,504
  5. Step 5: Solve for x
    x = 977,622,607,504/454,472
  6. Step 6: Final answer
    x = 2,151,117.36

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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.