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Finding the Third Proportional to 29,697 and 64,242

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Solution

The third proportional to 29,697 and 64,242 is: 138,971.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697 : 64,242 = 64,242 : x
  2. Step 2: Convert to fraction form
    29,697/64,242 = 64,242/x
  3. Step 3: Cross multiply
    29,697x = 64,242 × 64,242
  4. Step 4: Simplify right side
    29,697x = 4,127,034,564
  5. Step 5: Solve for x
    x = 4,127,034,564/29,697
  6. Step 6: Final answer
    x = 138,971.43

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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.