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Finding the Third Proportional to 217,664 and 455,008

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Solution

The third proportional to 217,664 and 455,008 is: 951,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,664 : 455,008 = 455,008 : x
  2. Step 2: Convert to fraction form
    217,664/455,008 = 455,008/x
  3. Step 3: Cross multiply
    217,664x = 455,008 × 455,008
  4. Step 4: Simplify right side
    217,664x = 207,032,280,064
  5. Step 5: Solve for x
    x = 207,032,280,064/217,664
  6. Step 6: Final answer
    x = 951,155.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.