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Finding the Third Proportional to 30,721 and 64,721

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Solution

The third proportional to 30,721 and 64,721 is: 136,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,721 : 64,721 = 64,721 : x
  2. Step 2: Convert to fraction form
    30,721/64,721 = 64,721/x
  3. Step 3: Cross multiply
    30,721x = 64,721 × 64,721
  4. Step 4: Simplify right side
    30,721x = 4,188,807,841
  5. Step 5: Solve for x
    x = 4,188,807,841/30,721
  6. Step 6: Final answer
    x = 136,349.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.