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Finding the Third Proportional to 211,659 and 317,460

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Solution

The third proportional to 211,659 and 317,460 is: 476,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,659 : 317,460 = 317,460 : x
  2. Step 2: Convert to fraction form
    211,659/317,460 = 317,460/x
  3. Step 3: Cross multiply
    211,659x = 317,460 × 317,460
  4. Step 4: Simplify right side
    211,659x = 100,780,851,600
  5. Step 5: Solve for x
    x = 100,780,851,600/211,659
  6. Step 6: Final answer
    x = 476,147.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.