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Finding the Third Proportional to 157,920 and 231,984

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Solution

The third proportional to 157,920 and 231,984 is: 340,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,920 : 231,984 = 231,984 : x
  2. Step 2: Convert to fraction form
    157,920/231,984 = 231,984/x
  3. Step 3: Cross multiply
    157,920x = 231,984 × 231,984
  4. Step 4: Simplify right side
    157,920x = 53,816,576,256
  5. Step 5: Solve for x
    x = 53,816,576,256/157,920
  6. Step 6: Final answer
    x = 340,783.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.