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Finding the Third Proportional to 454,514 and 991,972

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Solution

The third proportional to 454,514 and 991,972 is: 2,164,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,514 : 991,972 = 991,972 : x
  2. Step 2: Convert to fraction form
    454,514/991,972 = 991,972/x
  3. Step 3: Cross multiply
    454,514x = 991,972 × 991,972
  4. Step 4: Simplify right side
    454,514x = 984,008,448,784
  5. Step 5: Solve for x
    x = 984,008,448,784/454,514
  6. Step 6: Final answer
    x = 2,164,968.40

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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.