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Finding the Third Proportional to 141,729 and 219,769

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Solution

The third proportional to 141,729 and 219,769 is: 340,780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,729 : 219,769 = 219,769 : x
  2. Step 2: Convert to fraction form
    141,729/219,769 = 219,769/x
  3. Step 3: Cross multiply
    141,729x = 219,769 × 219,769
  4. Step 4: Simplify right side
    141,729x = 48,298,413,361
  5. Step 5: Solve for x
    x = 48,298,413,361/141,729
  6. Step 6: Final answer
    x = 340,780.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.