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Finding the Third Proportional to 455,472 and 999,648

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Solution

The third proportional to 455,472 and 999,648 is: 2,193,979.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,472 : 999,648 = 999,648 : x
  2. Step 2: Convert to fraction form
    455,472/999,648 = 999,648/x
  3. Step 3: Cross multiply
    455,472x = 999,648 × 999,648
  4. Step 4: Simplify right side
    455,472x = 999,296,123,904
  5. Step 5: Solve for x
    x = 999,296,123,904/455,472
  6. Step 6: Final answer
    x = 2,193,979.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.