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Finding the Third Proportional to 141,829 and 209,940

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Solution

The third proportional to 141,829 and 209,940 is: 310,760.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,829 : 209,940 = 209,940 : x
  2. Step 2: Convert to fraction form
    141,829/209,940 = 209,940/x
  3. Step 3: Cross multiply
    141,829x = 209,940 × 209,940
  4. Step 4: Simplify right side
    141,829x = 44,074,803,600
  5. Step 5: Solve for x
    x = 44,074,803,600/141,829
  6. Step 6: Final answer
    x = 310,760.17

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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.