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Finding the Third Proportional to 191,418 and 419,646

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Solution

The third proportional to 191,418 and 419,646 is: 919,990.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,418 : 419,646 = 419,646 : x
  2. Step 2: Convert to fraction form
    191,418/419,646 = 419,646/x
  3. Step 3: Cross multiply
    191,418x = 419,646 × 419,646
  4. Step 4: Simplify right side
    191,418x = 176,102,765,316
  5. Step 5: Solve for x
    x = 176,102,765,316/191,418
  6. Step 6: Final answer
    x = 919,990.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.