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Finding the Third Proportional to 213,776 and 331,000

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Solution

The third proportional to 213,776 and 331,000 is: 512,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,776 : 331,000 = 331,000 : x
  2. Step 2: Convert to fraction form
    213,776/331,000 = 331,000/x
  3. Step 3: Cross multiply
    213,776x = 331,000 × 331,000
  4. Step 4: Simplify right side
    213,776x = 109,561,000,000
  5. Step 5: Solve for x
    x = 109,561,000,000/213,776
  6. Step 6: Final answer
    x = 512,503.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.