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Finding the Third Proportional to 30,210 and 66,256

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Solution

The third proportional to 30,210 and 66,256 is: 145,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,210 : 66,256 = 66,256 : x
  2. Step 2: Convert to fraction form
    30,210/66,256 = 66,256/x
  3. Step 3: Cross multiply
    30,210x = 66,256 × 66,256
  4. Step 4: Simplify right side
    30,210x = 4,389,857,536
  5. Step 5: Solve for x
    x = 4,389,857,536/30,210
  6. Step 6: Final answer
    x = 145,311.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.