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Finding the Third Proportional to 142,920 and 304,825

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Solution

The third proportional to 142,920 and 304,825 is: 650,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,920 : 304,825 = 304,825 : x
  2. Step 2: Convert to fraction form
    142,920/304,825 = 304,825/x
  3. Step 3: Cross multiply
    142,920x = 304,825 × 304,825
  4. Step 4: Simplify right side
    142,920x = 92,918,280,625
  5. Step 5: Solve for x
    x = 92,918,280,625/142,920
  6. Step 6: Final answer
    x = 650,141.90

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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.