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Finding the Third Proportional to 160,898 and 218,518

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Solution

The third proportional to 160,898 and 218,518 is: 296,772.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,898 : 218,518 = 218,518 : x
  2. Step 2: Convert to fraction form
    160,898/218,518 = 218,518/x
  3. Step 3: Cross multiply
    160,898x = 218,518 × 218,518
  4. Step 4: Simplify right side
    160,898x = 47,750,116,324
  5. Step 5: Solve for x
    x = 47,750,116,324/160,898
  6. Step 6: Final answer
    x = 296,772.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.