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Finding the Third Proportional to 217,216 and 460,644

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Solution

The third proportional to 217,216 and 460,644 is: 976,875.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,216 : 460,644 = 460,644 : x
  2. Step 2: Convert to fraction form
    217,216/460,644 = 460,644/x
  3. Step 3: Cross multiply
    217,216x = 460,644 × 460,644
  4. Step 4: Simplify right side
    217,216x = 212,192,894,736
  5. Step 5: Solve for x
    x = 212,192,894,736/217,216
  6. Step 6: Final answer
    x = 976,875.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.