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Finding the Third Proportional to 133,920 and 288,342

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Solution

The third proportional to 133,920 and 288,342 is: 620,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,920 : 288,342 = 288,342 : x
  2. Step 2: Convert to fraction form
    133,920/288,342 = 288,342/x
  3. Step 3: Cross multiply
    133,920x = 288,342 × 288,342
  4. Step 4: Simplify right side
    133,920x = 83,141,108,964
  5. Step 5: Solve for x
    x = 83,141,108,964/133,920
  6. Step 6: Final answer
    x = 620,826.68

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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.