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Finding the Third Proportional to 30,179 and 64,246

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Solution

The third proportional to 30,179 and 64,246 is: 136,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,179 : 64,246 = 64,246 : x
  2. Step 2: Convert to fraction form
    30,179/64,246 = 64,246/x
  3. Step 3: Cross multiply
    30,179x = 64,246 × 64,246
  4. Step 4: Simplify right side
    30,179x = 4,127,548,516
  5. Step 5: Solve for x
    x = 4,127,548,516/30,179
  6. Step 6: Final answer
    x = 136,768.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.