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Finding the Third Proportional to 29,685 and 64,031

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Solution

The third proportional to 29,685 and 64,031 is: 138,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,685 : 64,031 = 64,031 : x
  2. Step 2: Convert to fraction form
    29,685/64,031 = 64,031/x
  3. Step 3: Cross multiply
    29,685x = 64,031 × 64,031
  4. Step 4: Simplify right side
    29,685x = 4,099,968,961
  5. Step 5: Solve for x
    x = 4,099,968,961/29,685
  6. Step 6: Final answer
    x = 138,115.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.