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Finding the Third Proportional to 217,139 and 478,455

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Solution

The third proportional to 217,139 and 478,455 is: 1,054,251.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,139 : 478,455 = 478,455 : x
  2. Step 2: Convert to fraction form
    217,139/478,455 = 478,455/x
  3. Step 3: Cross multiply
    217,139x = 478,455 × 478,455
  4. Step 4: Simplify right side
    217,139x = 228,919,187,025
  5. Step 5: Solve for x
    x = 228,919,187,025/217,139
  6. Step 6: Final answer
    x = 1,054,251.82

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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.