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Finding the Third Proportional to 330,072 and 495,840

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Solution

The third proportional to 330,072 and 495,840 is: 744,859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,072 : 495,840 = 495,840 : x
  2. Step 2: Convert to fraction form
    330,072/495,840 = 495,840/x
  3. Step 3: Cross multiply
    330,072x = 495,840 × 495,840
  4. Step 4: Simplify right side
    330,072x = 245,857,305,600
  5. Step 5: Solve for x
    x = 245,857,305,600/330,072
  6. Step 6: Final answer
    x = 744,859.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.