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Finding the Third Proportional to 145,003 and 319,427

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Solution

The third proportional to 145,003 and 319,427 is: 703,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,003 : 319,427 = 319,427 : x
  2. Step 2: Convert to fraction form
    145,003/319,427 = 319,427/x
  3. Step 3: Cross multiply
    145,003x = 319,427 × 319,427
  4. Step 4: Simplify right side
    145,003x = 102,033,608,329
  5. Step 5: Solve for x
    x = 102,033,608,329/145,003
  6. Step 6: Final answer
    x = 703,665.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.