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Finding the Third Proportional to 66,520 and 147,800

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Solution

The third proportional to 66,520 and 147,800 is: 328,395.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,520 : 147,800 = 147,800 : x
  2. Step 2: Convert to fraction form
    66,520/147,800 = 147,800/x
  3. Step 3: Cross multiply
    66,520x = 147,800 × 147,800
  4. Step 4: Simplify right side
    66,520x = 21,844,840,000
  5. Step 5: Solve for x
    x = 21,844,840,000/66,520
  6. Step 6: Final answer
    x = 328,395.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.