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Finding the Third Proportional to 328,330 and 706,880

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Solution

The third proportional to 328,330 and 706,880 is: 1,521,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,330 : 706,880 = 706,880 : x
  2. Step 2: Convert to fraction form
    328,330/706,880 = 706,880/x
  3. Step 3: Cross multiply
    328,330x = 706,880 × 706,880
  4. Step 4: Simplify right side
    328,330x = 499,679,334,400
  5. Step 5: Solve for x
    x = 499,679,334,400/328,330
  6. Step 6: Final answer
    x = 1,521,881.44

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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.