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Finding the Third Proportional to 72,800 and 157,984

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Solution

The third proportional to 72,800 and 157,984 is: 342,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,800 : 157,984 = 157,984 : x
  2. Step 2: Convert to fraction form
    72,800/157,984 = 157,984/x
  3. Step 3: Cross multiply
    72,800x = 157,984 × 157,984
  4. Step 4: Simplify right side
    72,800x = 24,958,944,256
  5. Step 5: Solve for x
    x = 24,958,944,256/72,800
  6. Step 6: Final answer
    x = 342,842.64

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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.