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Finding the Third Proportional to 328,212 and 706,320

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Solution

The third proportional to 328,212 and 706,320 is: 1,520,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,212 : 706,320 = 706,320 : x
  2. Step 2: Convert to fraction form
    328,212/706,320 = 706,320/x
  3. Step 3: Cross multiply
    328,212x = 706,320 × 706,320
  4. Step 4: Simplify right side
    328,212x = 498,887,942,400
  5. Step 5: Solve for x
    x = 498,887,942,400/328,212
  6. Step 6: Final answer
    x = 1,520,017.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.