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Finding the Third Proportional to 312,519 and 647,196

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Solution

The third proportional to 312,519 and 647,196 is: 1,340,279.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,519 : 647,196 = 647,196 : x
  2. Step 2: Convert to fraction form
    312,519/647,196 = 647,196/x
  3. Step 3: Cross multiply
    312,519x = 647,196 × 647,196
  4. Step 4: Simplify right side
    312,519x = 418,862,662,416
  5. Step 5: Solve for x
    x = 418,862,662,416/312,519
  6. Step 6: Final answer
    x = 1,340,279.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.