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Finding the Third Proportional to 66,709 and 147,420

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Solution

The third proportional to 66,709 and 147,420 is: 325,782.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,709 : 147,420 = 147,420 : x
  2. Step 2: Convert to fraction form
    66,709/147,420 = 147,420/x
  3. Step 3: Cross multiply
    66,709x = 147,420 × 147,420
  4. Step 4: Simplify right side
    66,709x = 21,732,656,400
  5. Step 5: Solve for x
    x = 21,732,656,400/66,709
  6. Step 6: Final answer
    x = 325,782.97

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.