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Finding the Third Proportional to 145,186 and 319,800

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Solution

The third proportional to 145,186 and 319,800 is: 704,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,186 : 319,800 = 319,800 : x
  2. Step 2: Convert to fraction form
    145,186/319,800 = 319,800/x
  3. Step 3: Cross multiply
    145,186x = 319,800 × 319,800
  4. Step 4: Simplify right side
    145,186x = 102,272,040,000
  5. Step 5: Solve for x
    x = 102,272,040,000/145,186
  6. Step 6: Final answer
    x = 704,420.81

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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.