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Finding the Third Proportional to 217,998 and 487,017

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Solution

The third proportional to 217,998 and 487,017 is: 1,088,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,998 : 487,017 = 487,017 : x
  2. Step 2: Convert to fraction form
    217,998/487,017 = 487,017/x
  3. Step 3: Cross multiply
    217,998x = 487,017 × 487,017
  4. Step 4: Simplify right side
    217,998x = 237,185,558,289
  5. Step 5: Solve for x
    x = 237,185,558,289/217,998
  6. Step 6: Final answer
    x = 1,088,017.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.