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Finding the Third Proportional to 141,858 and 209,982

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Solution

The third proportional to 141,858 and 209,982 is: 310,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,858 : 209,982 = 209,982 : x
  2. Step 2: Convert to fraction form
    141,858/209,982 = 209,982/x
  3. Step 3: Cross multiply
    141,858x = 209,982 × 209,982
  4. Step 4: Simplify right side
    141,858x = 44,092,440,324
  5. Step 5: Solve for x
    x = 44,092,440,324/141,858
  6. Step 6: Final answer
    x = 310,820.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.