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Finding the Third Proportional to 191,918 and 418,774

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Solution

The third proportional to 191,918 and 418,774 is: 913,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,918 : 418,774 = 418,774 : x
  2. Step 2: Convert to fraction form
    191,918/418,774 = 418,774/x
  3. Step 3: Cross multiply
    191,918x = 418,774 × 418,774
  4. Step 4: Simplify right side
    191,918x = 175,371,663,076
  5. Step 5: Solve for x
    x = 175,371,663,076/191,918
  6. Step 6: Final answer
    x = 913,784.34

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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.