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Finding the Third Proportional to 157,078 and 335,324

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Solution

The third proportional to 157,078 and 335,324 is: 715,836.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,078 : 335,324 = 335,324 : x
  2. Step 2: Convert to fraction form
    157,078/335,324 = 335,324/x
  3. Step 3: Cross multiply
    157,078x = 335,324 × 335,324
  4. Step 4: Simplify right side
    157,078x = 112,442,184,976
  5. Step 5: Solve for x
    x = 112,442,184,976/157,078
  6. Step 6: Final answer
    x = 715,836.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.