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Finding the Third Proportional to 160,890 and 211,570

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Solution

The third proportional to 160,890 and 211,570 is: 278,214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,890 : 211,570 = 211,570 : x
  2. Step 2: Convert to fraction form
    160,890/211,570 = 211,570/x
  3. Step 3: Cross multiply
    160,890x = 211,570 × 211,570
  4. Step 4: Simplify right side
    160,890x = 44,761,864,900
  5. Step 5: Solve for x
    x = 44,761,864,900/160,890
  6. Step 6: Final answer
    x = 278,214.09

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.