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Finding the Third Proportional to 29,640 and 64,200

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Solution

The third proportional to 29,640 and 64,200 is: 139,056.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,640 : 64,200 = 64,200 : x
  2. Step 2: Convert to fraction form
    29,640/64,200 = 64,200/x
  3. Step 3: Cross multiply
    29,640x = 64,200 × 64,200
  4. Step 4: Simplify right side
    29,640x = 4,121,640,000
  5. Step 5: Solve for x
    x = 4,121,640,000/29,640
  6. Step 6: Final answer
    x = 139,056.68

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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.