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Finding the Third Proportional to 72,122 and 157,853

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Solution

The third proportional to 72,122 and 157,853 is: 345,491.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,122 : 157,853 = 157,853 : x
  2. Step 2: Convert to fraction form
    72,122/157,853 = 157,853/x
  3. Step 3: Cross multiply
    72,122x = 157,853 × 157,853
  4. Step 4: Simplify right side
    72,122x = 24,917,569,609
  5. Step 5: Solve for x
    x = 24,917,569,609/72,122
  6. Step 6: Final answer
    x = 345,491.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.