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Finding the Third Proportional to 339,286 and 706,492

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Solution

The third proportional to 339,286 and 706,492 is: 1,471,121.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,286 : 706,492 = 706,492 : x
  2. Step 2: Convert to fraction form
    339,286/706,492 = 706,492/x
  3. Step 3: Cross multiply
    339,286x = 706,492 × 706,492
  4. Step 4: Simplify right side
    339,286x = 499,130,946,064
  5. Step 5: Solve for x
    x = 499,130,946,064/339,286
  6. Step 6: Final answer
    x = 1,471,121.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.