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Finding the Third Proportional to 30,163 and 64,479

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Solution

The third proportional to 30,163 and 64,479 is: 137,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,163 : 64,479 = 64,479 : x
  2. Step 2: Convert to fraction form
    30,163/64,479 = 64,479/x
  3. Step 3: Cross multiply
    30,163x = 64,479 × 64,479
  4. Step 4: Simplify right side
    30,163x = 4,157,541,441
  5. Step 5: Solve for x
    x = 4,157,541,441/30,163
  6. Step 6: Final answer
    x = 137,835.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.