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Finding the Third Proportional to 30,021 and 64,416

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Solution

The third proportional to 30,021 and 64,416 is: 138,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,021 : 64,416 = 64,416 : x
  2. Step 2: Convert to fraction form
    30,021/64,416 = 64,416/x
  3. Step 3: Cross multiply
    30,021x = 64,416 × 64,416
  4. Step 4: Simplify right side
    30,021x = 4,149,421,056
  5. Step 5: Solve for x
    x = 4,149,421,056/30,021
  6. Step 6: Final answer
    x = 138,217.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.