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Finding the Third Proportional to 361,680 and 787,656

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Solution

The third proportional to 361,680 and 787,656 is: 1,715,333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,680 : 787,656 = 787,656 : x
  2. Step 2: Convert to fraction form
    361,680/787,656 = 787,656/x
  3. Step 3: Cross multiply
    361,680x = 787,656 × 787,656
  4. Step 4: Simplify right side
    361,680x = 620,401,974,336
  5. Step 5: Solve for x
    x = 620,401,974,336/361,680
  6. Step 6: Final answer
    x = 1,715,333.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.