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Finding the Third Proportional to 191,336 and 417,128

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Solution

The third proportional to 191,336 and 417,128 is: 909,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,336 : 417,128 = 417,128 : x
  2. Step 2: Convert to fraction form
    191,336/417,128 = 417,128/x
  3. Step 3: Cross multiply
    191,336x = 417,128 × 417,128
  4. Step 4: Simplify right side
    191,336x = 173,995,768,384
  5. Step 5: Solve for x
    x = 173,995,768,384/191,336
  6. Step 6: Final answer
    x = 909,372.87

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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.