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Finding the Third Proportional to 29,972 and 64,696

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Solution

The third proportional to 29,972 and 64,696 is: 139,649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,972 : 64,696 = 64,696 : x
  2. Step 2: Convert to fraction form
    29,972/64,696 = 64,696/x
  3. Step 3: Cross multiply
    29,972x = 64,696 × 64,696
  4. Step 4: Simplify right side
    29,972x = 4,185,572,416
  5. Step 5: Solve for x
    x = 4,185,572,416/29,972
  6. Step 6: Final answer
    x = 139,649.42

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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.