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Finding the Third Proportional to 153,356 and 331,336

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Solution

The third proportional to 153,356 and 331,336 is: 715,873.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,356 : 331,336 = 331,336 : x
  2. Step 2: Convert to fraction form
    153,356/331,336 = 331,336/x
  3. Step 3: Cross multiply
    153,356x = 331,336 × 331,336
  4. Step 4: Simplify right side
    153,356x = 109,783,544,896
  5. Step 5: Solve for x
    x = 109,783,544,896/153,356
  6. Step 6: Final answer
    x = 715,873.82

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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.