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Finding the Third Proportional to 130,858 and 191,775

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Solution

The third proportional to 130,858 and 191,775 is: 281,050.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,858 : 191,775 = 191,775 : x
  2. Step 2: Convert to fraction form
    130,858/191,775 = 191,775/x
  3. Step 3: Cross multiply
    130,858x = 191,775 × 191,775
  4. Step 4: Simplify right side
    130,858x = 36,777,650,625
  5. Step 5: Solve for x
    x = 36,777,650,625/130,858
  6. Step 6: Final answer
    x = 281,050.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.