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Finding the Third Proportional to 321,848 and 480,612

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Solution

The third proportional to 321,848 and 480,612 is: 717,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,848 : 480,612 = 480,612 : x
  2. Step 2: Convert to fraction form
    321,848/480,612 = 480,612/x
  3. Step 3: Cross multiply
    321,848x = 480,612 × 480,612
  4. Step 4: Simplify right side
    321,848x = 230,987,894,544
  5. Step 5: Solve for x
    x = 230,987,894,544/321,848
  6. Step 6: Final answer
    x = 717,692.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.