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Finding the Third Proportional to 142,560 and 331,490.25

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Solution

The third proportional to 142,560 and 331,490.25 is: 770,803.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,560 : 331,490.25 = 331,490.25 : x
  2. Step 2: Convert to fraction form
    142,560/331,490.25 = 331,490.25/x
  3. Step 3: Cross multiply
    142,560x = 331,490.25 × 331,490.25
  4. Step 4: Simplify right side
    142,560x = 109,885,785,845.06
  5. Step 5: Solve for x
    x = 109,885,785,845.06/142,560
  6. Step 6: Final answer
    x = 770,803.77

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.