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Finding the Third Proportional to 29,690 and 64,288

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Solution

The third proportional to 29,690 and 64,288 is: 139,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,690 : 64,288 = 64,288 : x
  2. Step 2: Convert to fraction form
    29,690/64,288 = 64,288/x
  3. Step 3: Cross multiply
    29,690x = 64,288 × 64,288
  4. Step 4: Simplify right side
    29,690x = 4,132,946,944
  5. Step 5: Solve for x
    x = 4,132,946,944/29,690
  6. Step 6: Final answer
    x = 139,203.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.