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Finding the Third Proportional to 218,128 and 461,407

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Solution

The third proportional to 218,128 and 461,407 is: 976,016.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,128 : 461,407 = 461,407 : x
  2. Step 2: Convert to fraction form
    218,128/461,407 = 461,407/x
  3. Step 3: Cross multiply
    218,128x = 461,407 × 461,407
  4. Step 4: Simplify right side
    218,128x = 212,896,419,649
  5. Step 5: Solve for x
    x = 212,896,419,649/218,128
  6. Step 6: Final answer
    x = 976,016.01

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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.