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Finding the Third Proportional to 70,827 and 153,270

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Solution

The third proportional to 70,827 and 153,270 is: 331,677.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,827 : 153,270 = 153,270 : x
  2. Step 2: Convert to fraction form
    70,827/153,270 = 153,270/x
  3. Step 3: Cross multiply
    70,827x = 153,270 × 153,270
  4. Step 4: Simplify right side
    70,827x = 23,491,692,900
  5. Step 5: Solve for x
    x = 23,491,692,900/70,827
  6. Step 6: Final answer
    x = 331,677.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.