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Finding the Third Proportional to 121,186 and 253,508

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Solution

The third proportional to 121,186 and 253,508 is: 530,311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,186 : 253,508 = 253,508 : x
  2. Step 2: Convert to fraction form
    121,186/253,508 = 253,508/x
  3. Step 3: Cross multiply
    121,186x = 253,508 × 253,508
  4. Step 4: Simplify right side
    121,186x = 64,266,306,064
  5. Step 5: Solve for x
    x = 64,266,306,064/121,186
  6. Step 6: Final answer
    x = 530,311.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.