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Finding the Third Proportional to 320,099,982 and 480,149,940

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Solution

The third proportional to 320,099,982 and 480,149,940 is: 720,224,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,099,982 : 480,149,940 = 480,149,940 : x
  2. Step 2: Convert to fraction form
    320,099,982/480,149,940 = 480,149,940/x
  3. Step 3: Cross multiply
    320,099,982x = 480,149,940 × 480,149,940
  4. Step 4: Simplify right side
    320,099,982x = 230,543,964,882,003,584
  5. Step 5: Solve for x
    x = 230,543,964,882,003,584/320,099,982
  6. Step 6: Final answer
    x = 720,224,860.50

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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.