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Finding the Third Proportional to 157,632 and 342,912

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Solution

The third proportional to 157,632 and 342,912 is: 745,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,632 : 342,912 = 342,912 : x
  2. Step 2: Convert to fraction form
    157,632/342,912 = 342,912/x
  3. Step 3: Cross multiply
    157,632x = 342,912 × 342,912
  4. Step 4: Simplify right side
    157,632x = 117,588,639,744
  5. Step 5: Solve for x
    x = 117,588,639,744/157,632
  6. Step 6: Final answer
    x = 745,969.34

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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.