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Finding the Third Proportional to 217,570 and 474,992

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Solution

The third proportional to 217,570 and 474,992 is: 1,036,987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,570 : 474,992 = 474,992 : x
  2. Step 2: Convert to fraction form
    217,570/474,992 = 474,992/x
  3. Step 3: Cross multiply
    217,570x = 474,992 × 474,992
  4. Step 4: Simplify right side
    217,570x = 225,617,400,064
  5. Step 5: Solve for x
    x = 225,617,400,064/217,570
  6. Step 6: Final answer
    x = 1,036,987.64

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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.