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Finding the Third Proportional to 144,169 and 218,407

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Solution

The third proportional to 144,169 and 218,407 is: 330,872.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,169 : 218,407 = 218,407 : x
  2. Step 2: Convert to fraction form
    144,169/218,407 = 218,407/x
  3. Step 3: Cross multiply
    144,169x = 218,407 × 218,407
  4. Step 4: Simplify right side
    144,169x = 47,701,617,649
  5. Step 5: Solve for x
    x = 47,701,617,649/144,169
  6. Step 6: Final answer
    x = 330,872.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.