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Finding the Third Proportional to 153,400 and 329,570

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Solution

The third proportional to 153,400 and 329,570 is: 708,059.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,400 : 329,570 = 329,570 : x
  2. Step 2: Convert to fraction form
    153,400/329,570 = 329,570/x
  3. Step 3: Cross multiply
    153,400x = 329,570 × 329,570
  4. Step 4: Simplify right side
    153,400x = 108,616,384,900
  5. Step 5: Solve for x
    x = 108,616,384,900/153,400
  6. Step 6: Final answer
    x = 708,059.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.