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Finding the Third Proportional to 66,520 and 142,264

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Solution

The third proportional to 66,520 and 142,264 is: 304,255.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,520 : 142,264 = 142,264 : x
  2. Step 2: Convert to fraction form
    66,520/142,264 = 142,264/x
  3. Step 3: Cross multiply
    66,520x = 142,264 × 142,264
  4. Step 4: Simplify right side
    66,520x = 20,239,045,696
  5. Step 5: Solve for x
    x = 20,239,045,696/66,520
  6. Step 6: Final answer
    x = 304,255.05

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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.