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Finding the Third Proportional to 317,595 and 681,239

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Solution

The third proportional to 317,595 and 681,239 is: 1,461,252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,595 : 681,239 = 681,239 : x
  2. Step 2: Convert to fraction form
    317,595/681,239 = 681,239/x
  3. Step 3: Cross multiply
    317,595x = 681,239 × 681,239
  4. Step 4: Simplify right side
    317,595x = 464,086,575,121
  5. Step 5: Solve for x
    x = 464,086,575,121/317,595
  6. Step 6: Final answer
    x = 1,461,252.78

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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.