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Finding the Third Proportional to 153,753 and 330,084

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Solution

The third proportional to 153,753 and 330,084 is: 708,639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,753 : 330,084 = 330,084 : x
  2. Step 2: Convert to fraction form
    153,753/330,084 = 330,084/x
  3. Step 3: Cross multiply
    153,753x = 330,084 × 330,084
  4. Step 4: Simplify right side
    153,753x = 108,955,447,056
  5. Step 5: Solve for x
    x = 108,955,447,056/153,753
  6. Step 6: Final answer
    x = 708,639.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.