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Finding the Third Proportional to 157,632 and 231,840

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Solution

The third proportional to 157,632 and 231,840 is: 340,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,632 : 231,840 = 231,840 : x
  2. Step 2: Convert to fraction form
    157,632/231,840 = 231,840/x
  3. Step 3: Cross multiply
    157,632x = 231,840 × 231,840
  4. Step 4: Simplify right side
    157,632x = 53,749,785,600
  5. Step 5: Solve for x
    x = 53,749,785,600/157,632
  6. Step 6: Final answer
    x = 340,982.70

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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.