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Finding the Third Proportional to 217,998 and 469,389

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Solution

The third proportional to 217,998 and 469,389 is: 1,010,679.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,998 : 469,389 = 469,389 : x
  2. Step 2: Convert to fraction form
    217,998/469,389 = 469,389/x
  3. Step 3: Cross multiply
    217,998x = 469,389 × 469,389
  4. Step 4: Simplify right side
    217,998x = 220,326,033,321
  5. Step 5: Solve for x
    x = 220,326,033,321/217,998
  6. Step 6: Final answer
    x = 1,010,679.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.