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Finding the Third Proportional to 211,758 and 317,709

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Solution

The third proportional to 211,758 and 317,709 is: 476,671.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,758 : 317,709 = 317,709 : x
  2. Step 2: Convert to fraction form
    211,758/317,709 = 317,709/x
  3. Step 3: Cross multiply
    211,758x = 317,709 × 317,709
  4. Step 4: Simplify right side
    211,758x = 100,939,008,681
  5. Step 5: Solve for x
    x = 100,939,008,681/211,758
  6. Step 6: Final answer
    x = 476,671.52

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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.