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Finding the Third Proportional to 218,486 and 299,013

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Solution

The third proportional to 218,486 and 299,013 is: 409,219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,486 : 299,013 = 299,013 : x
  2. Step 2: Convert to fraction form
    218,486/299,013 = 299,013/x
  3. Step 3: Cross multiply
    218,486x = 299,013 × 299,013
  4. Step 4: Simplify right side
    218,486x = 89,408,774,169
  5. Step 5: Solve for x
    x = 89,408,774,169/218,486
  6. Step 6: Final answer
    x = 409,219.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.