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Finding the Third Proportional to 217,124.25 and 478,422

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Solution

The third proportional to 217,124.25 and 478,422 is: 1,054,178.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,124.25 : 478,422 = 478,422 : x
  2. Step 2: Convert to fraction form
    217,124.25/478,422 = 478,422/x
  3. Step 3: Cross multiply
    217,124.25x = 478,422 × 478,422
  4. Step 4: Simplify right side
    217,124.25x = 228,887,610,084
  5. Step 5: Solve for x
    x = 228,887,610,084/217,124.25
  6. Step 6: Final answer
    x = 1,054,178.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.