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Finding the Third Proportional to 153,158 and 330,916

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Solution

The third proportional to 153,158 and 330,916 is: 714,983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,158 : 330,916 = 330,916 : x
  2. Step 2: Convert to fraction form
    153,158/330,916 = 330,916/x
  3. Step 3: Cross multiply
    153,158x = 330,916 × 330,916
  4. Step 4: Simplify right side
    153,158x = 109,505,399,056
  5. Step 5: Solve for x
    x = 109,505,399,056/153,158
  6. Step 6: Final answer
    x = 714,983.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.