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Finding the Third Proportional to 30,581 and 64,837

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Solution

The third proportional to 30,581 and 64,837 is: 137,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,581 : 64,837 = 64,837 : x
  2. Step 2: Convert to fraction form
    30,581/64,837 = 64,837/x
  3. Step 3: Cross multiply
    30,581x = 64,837 × 64,837
  4. Step 4: Simplify right side
    30,581x = 4,203,836,569
  5. Step 5: Solve for x
    x = 4,203,836,569/30,581
  6. Step 6: Final answer
    x = 137,465.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.