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Finding the Third Proportional to 153,970 and 342,916

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Solution

The third proportional to 153,970 and 342,916 is: 763,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,970 : 342,916 = 342,916 : x
  2. Step 2: Convert to fraction form
    153,970/342,916 = 342,916/x
  3. Step 3: Cross multiply
    153,970x = 342,916 × 342,916
  4. Step 4: Simplify right side
    153,970x = 117,591,383,056
  5. Step 5: Solve for x
    x = 117,591,383,056/153,970
  6. Step 6: Final answer
    x = 763,729.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.