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Finding the Third Proportional to 30,199 and 64,781

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Solution

The third proportional to 30,199 and 64,781 is: 138,964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,199 : 64,781 = 64,781 : x
  2. Step 2: Convert to fraction form
    30,199/64,781 = 64,781/x
  3. Step 3: Cross multiply
    30,199x = 64,781 × 64,781
  4. Step 4: Simplify right side
    30,199x = 4,196,577,961
  5. Step 5: Solve for x
    x = 4,196,577,961/30,199
  6. Step 6: Final answer
    x = 138,964.14

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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.