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Finding the Third Proportional to 29,257 and 64,489

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Solution

The third proportional to 29,257 and 64,489 is: 142,148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,257 : 64,489 = 64,489 : x
  2. Step 2: Convert to fraction form
    29,257/64,489 = 64,489/x
  3. Step 3: Cross multiply
    29,257x = 64,489 × 64,489
  4. Step 4: Simplify right side
    29,257x = 4,158,831,121
  5. Step 5: Solve for x
    x = 4,158,831,121/29,257
  6. Step 6: Final answer
    x = 142,148.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.