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Finding the Third Proportional to 153,583 and 319,427

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Solution

The third proportional to 153,583 and 319,427 is: 664,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,583 : 319,427 = 319,427 : x
  2. Step 2: Convert to fraction form
    153,583/319,427 = 319,427/x
  3. Step 3: Cross multiply
    153,583x = 319,427 × 319,427
  4. Step 4: Simplify right side
    153,583x = 102,033,608,329
  5. Step 5: Solve for x
    x = 102,033,608,329/153,583
  6. Step 6: Final answer
    x = 664,354.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.