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Finding the Third Proportional to 127,853 and 191,780

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Solution

The third proportional to 127,853 and 191,780 is: 287,670.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,853 : 191,780 = 191,780 : x
  2. Step 2: Convert to fraction form
    127,853/191,780 = 191,780/x
  3. Step 3: Cross multiply
    127,853x = 191,780 × 191,780
  4. Step 4: Simplify right side
    127,853x = 36,779,568,400
  5. Step 5: Solve for x
    x = 36,779,568,400/127,853
  6. Step 6: Final answer
    x = 287,670.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.