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Finding the Third Proportional to 72,768 and 157,848

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Solution

The third proportional to 72,768 and 157,848 is: 342,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,768 : 157,848 = 157,848 : x
  2. Step 2: Convert to fraction form
    72,768/157,848 = 157,848/x
  3. Step 3: Cross multiply
    72,768x = 157,848 × 157,848
  4. Step 4: Simplify right side
    72,768x = 24,915,991,104
  5. Step 5: Solve for x
    x = 24,915,991,104/72,768
  6. Step 6: Final answer
    x = 342,403.13

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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.