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Finding the Third Proportional to 153,393.50 and 328,645

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Solution

The third proportional to 153,393.50 and 328,645 is: 704,120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,393.50 : 328,645 = 328,645 : x
  2. Step 2: Convert to fraction form
    153,393.50/328,645 = 328,645/x
  3. Step 3: Cross multiply
    153,393.50x = 328,645 × 328,645
  4. Step 4: Simplify right side
    153,393.50x = 108,007,536,025
  5. Step 5: Solve for x
    x = 108,007,536,025/153,393.50
  6. Step 6: Final answer
    x = 704,120.68

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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.