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Finding the Third Proportional to 215,421 and 460,164

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Solution

The third proportional to 215,421 and 460,164 is: 982,963.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,421 : 460,164 = 460,164 : x
  2. Step 2: Convert to fraction form
    215,421/460,164 = 460,164/x
  3. Step 3: Cross multiply
    215,421x = 460,164 × 460,164
  4. Step 4: Simplify right side
    215,421x = 211,750,906,896
  5. Step 5: Solve for x
    x = 211,750,906,896/215,421
  6. Step 6: Final answer
    x = 982,963.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.