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Finding the Third Proportional to 328,368 and 706,960

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Solution

The third proportional to 328,368 and 706,960 is: 1,522,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,368 : 706,960 = 706,960 : x
  2. Step 2: Convert to fraction form
    328,368/706,960 = 706,960/x
  3. Step 3: Cross multiply
    328,368x = 706,960 × 706,960
  4. Step 4: Simplify right side
    328,368x = 499,792,441,600
  5. Step 5: Solve for x
    x = 499,792,441,600/328,368
  6. Step 6: Final answer
    x = 1,522,049.78

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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.