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Finding the Third Proportional to 72,862 and 157,819

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Solution

The third proportional to 72,862 and 157,819 is: 341,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,862 : 157,819 = 157,819 : x
  2. Step 2: Convert to fraction form
    72,862/157,819 = 157,819/x
  3. Step 3: Cross multiply
    72,862x = 157,819 × 157,819
  4. Step 4: Simplify right side
    72,862x = 24,906,836,761
  5. Step 5: Solve for x
    x = 24,906,836,761/72,862
  6. Step 6: Final answer
    x = 341,835.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.