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Finding the Third Proportional to 29,120 and 63,272

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Solution

The third proportional to 29,120 and 63,272 is: 137,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,120 : 63,272 = 63,272 : x
  2. Step 2: Convert to fraction form
    29,120/63,272 = 63,272/x
  3. Step 3: Cross multiply
    29,120x = 63,272 × 63,272
  4. Step 4: Simplify right side
    29,120x = 4,003,345,984
  5. Step 5: Solve for x
    x = 4,003,345,984/29,120
  6. Step 6: Final answer
    x = 137,477.54

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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.