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Finding the Third Proportional to 160,851 and 211,518

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Solution

The third proportional to 160,851 and 211,518 is: 278,144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,851 : 211,518 = 211,518 : x
  2. Step 2: Convert to fraction form
    160,851/211,518 = 211,518/x
  3. Step 3: Cross multiply
    160,851x = 211,518 × 211,518
  4. Step 4: Simplify right side
    160,851x = 44,739,864,324
  5. Step 5: Solve for x
    x = 44,739,864,324/160,851
  6. Step 6: Final answer
    x = 278,144.77

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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.