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Finding the Third Proportional to 72,069 and 157,058

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Solution

The third proportional to 72,069 and 157,058 is: 342,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,069 : 157,058 = 157,058 : x
  2. Step 2: Convert to fraction form
    72,069/157,058 = 157,058/x
  3. Step 3: Cross multiply
    72,069x = 157,058 × 157,058
  4. Step 4: Simplify right side
    72,069x = 24,667,215,364
  5. Step 5: Solve for x
    x = 24,667,215,364/72,069
  6. Step 6: Final answer
    x = 342,272.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.