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Finding the Third Proportional to 217,893 and 300,051

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Solution

The third proportional to 217,893 and 300,051 is: 413,187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,893 : 300,051 = 300,051 : x
  2. Step 2: Convert to fraction form
    217,893/300,051 = 300,051/x
  3. Step 3: Cross multiply
    217,893x = 300,051 × 300,051
  4. Step 4: Simplify right side
    217,893x = 90,030,602,601
  5. Step 5: Solve for x
    x = 90,030,602,601/217,893
  6. Step 6: Final answer
    x = 413,187.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.