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Finding the Third Proportional to 191,817 and 417,357

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Solution

The third proportional to 191,817 and 417,357 is: 908,088.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,817 : 417,357 = 417,357 : x
  2. Step 2: Convert to fraction form
    191,817/417,357 = 417,357/x
  3. Step 3: Cross multiply
    191,817x = 417,357 × 417,357
  4. Step 4: Simplify right side
    191,817x = 174,186,865,449
  5. Step 5: Solve for x
    x = 174,186,865,449/191,817
  6. Step 6: Final answer
    x = 908,088.78

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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.