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Finding the Third Proportional to 157,864 and 330,320

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Solution

The third proportional to 157,864 and 330,320 is: 691,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,864 : 330,320 = 330,320 : x
  2. Step 2: Convert to fraction form
    157,864/330,320 = 330,320/x
  3. Step 3: Cross multiply
    157,864x = 330,320 × 330,320
  4. Step 4: Simplify right side
    157,864x = 109,111,302,400
  5. Step 5: Solve for x
    x = 109,111,302,400/157,864
  6. Step 6: Final answer
    x = 691,172.80

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.