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Finding the Third Proportional to 142,845 and 304,674

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Solution

The third proportional to 142,845 and 304,674 is: 649,838.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,845 : 304,674 = 304,674 : x
  2. Step 2: Convert to fraction form
    142,845/304,674 = 304,674/x
  3. Step 3: Cross multiply
    142,845x = 304,674 × 304,674
  4. Step 4: Simplify right side
    142,845x = 92,826,246,276
  5. Step 5: Solve for x
    x = 92,826,246,276/142,845
  6. Step 6: Final answer
    x = 649,838.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.