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Finding the Third Proportional to 72,144 and 157,565

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Solution

The third proportional to 72,144 and 157,565 is: 344,127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,144 : 157,565 = 157,565 : x
  2. Step 2: Convert to fraction form
    72,144/157,565 = 157,565/x
  3. Step 3: Cross multiply
    72,144x = 157,565 × 157,565
  4. Step 4: Simplify right side
    72,144x = 24,826,729,225
  5. Step 5: Solve for x
    x = 24,826,729,225/72,144
  6. Step 6: Final answer
    x = 344,127.43

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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.