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Finding the Third Proportional to 30,310 and 64,832

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Solution

The third proportional to 30,310 and 64,832 is: 138,673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,310 : 64,832 = 64,832 : x
  2. Step 2: Convert to fraction form
    30,310/64,832 = 64,832/x
  3. Step 3: Cross multiply
    30,310x = 64,832 × 64,832
  4. Step 4: Simplify right side
    30,310x = 4,203,188,224
  5. Step 5: Solve for x
    x = 4,203,188,224/30,310
  6. Step 6: Final answer
    x = 138,673.32

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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.