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Finding the Third Proportional to 31,365 and 67,101

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Solution

The third proportional to 31,365 and 67,101 is: 143,553.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,365 : 67,101 = 67,101 : x
  2. Step 2: Convert to fraction form
    31,365/67,101 = 67,101/x
  3. Step 3: Cross multiply
    31,365x = 67,101 × 67,101
  4. Step 4: Simplify right side
    31,365x = 4,502,544,201
  5. Step 5: Solve for x
    x = 4,502,544,201/31,365
  6. Step 6: Final answer
    x = 143,553.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.