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Finding the Third Proportional to 215,496 and 458,640

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Solution

The third proportional to 215,496 and 458,640 is: 976,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,496 : 458,640 = 458,640 : x
  2. Step 2: Convert to fraction form
    215,496/458,640 = 458,640/x
  3. Step 3: Cross multiply
    215,496x = 458,640 × 458,640
  4. Step 4: Simplify right side
    215,496x = 210,350,649,600
  5. Step 5: Solve for x
    x = 210,350,649,600/215,496
  6. Step 6: Final answer
    x = 976,123.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.