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Finding the Third Proportional to 319,311 and 480,298.50

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Solution

The third proportional to 319,311 and 480,298.50 is: 722,451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,311 : 480,298.50 = 480,298.50 : x
  2. Step 2: Convert to fraction form
    319,311/480,298.50 = 480,298.50/x
  3. Step 3: Cross multiply
    319,311x = 480,298.50 × 480,298.50
  4. Step 4: Simplify right side
    319,311x = 230,686,649,102.25
  5. Step 5: Solve for x
    x = 230,686,649,102.25/319,311
  6. Step 6: Final answer
    x = 722,451.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.