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Finding the Third Proportional to 191,331 and 417,108

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Solution

The third proportional to 191,331 and 417,108 is: 909,309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,331 : 417,108 = 417,108 : x
  2. Step 2: Convert to fraction form
    191,331/417,108 = 417,108/x
  3. Step 3: Cross multiply
    191,331x = 417,108 × 417,108
  4. Step 4: Simplify right side
    191,331x = 173,979,083,664
  5. Step 5: Solve for x
    x = 173,979,083,664/191,331
  6. Step 6: Final answer
    x = 909,309.44

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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.