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Finding the Third Proportional to 153,284 and 239,238

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Solution

The third proportional to 153,284 and 239,238 is: 373,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,284 : 239,238 = 239,238 : x
  2. Step 2: Convert to fraction form
    153,284/239,238 = 239,238/x
  3. Step 3: Cross multiply
    153,284x = 239,238 × 239,238
  4. Step 4: Simplify right side
    153,284x = 57,234,820,644
  5. Step 5: Solve for x
    x = 57,234,820,644/153,284
  6. Step 6: Final answer
    x = 373,390.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.