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Finding the Third Proportional to 29,564 and 64,231

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Solution

The third proportional to 29,564 and 64,231 is: 139,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,564 : 64,231 = 64,231 : x
  2. Step 2: Convert to fraction form
    29,564/64,231 = 64,231/x
  3. Step 3: Cross multiply
    29,564x = 64,231 × 64,231
  4. Step 4: Simplify right side
    29,564x = 4,125,621,361
  5. Step 5: Solve for x
    x = 4,125,621,361/29,564
  6. Step 6: Final answer
    x = 139,548.82

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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.