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Finding the Third Proportional to 191,970 and 418,878

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Solution

The third proportional to 191,970 and 418,878 is: 913,990.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,970 : 418,878 = 418,878 : x
  2. Step 2: Convert to fraction form
    191,970/418,878 = 418,878/x
  3. Step 3: Cross multiply
    191,970x = 418,878 × 418,878
  4. Step 4: Simplify right side
    191,970x = 175,458,778,884
  5. Step 5: Solve for x
    x = 175,458,778,884/191,970
  6. Step 6: Final answer
    x = 913,990.62

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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.