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Finding the Third Proportional to 331,560 and 709,656

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Solution

The third proportional to 331,560 and 709,656 is: 1,518,915.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,560 : 709,656 = 709,656 : x
  2. Step 2: Convert to fraction form
    331,560/709,656 = 709,656/x
  3. Step 3: Cross multiply
    331,560x = 709,656 × 709,656
  4. Step 4: Simplify right side
    331,560x = 503,611,638,336
  5. Step 5: Solve for x
    x = 503,611,638,336/331,560
  6. Step 6: Final answer
    x = 1,518,915.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.