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Finding the Third Proportional to 211,461 and 317,124

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Solution

The third proportional to 211,461 and 317,124 is: 475,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,461 : 317,124 = 317,124 : x
  2. Step 2: Convert to fraction form
    211,461/317,124 = 317,124/x
  3. Step 3: Cross multiply
    211,461x = 317,124 × 317,124
  4. Step 4: Simplify right side
    211,461x = 100,567,631,376
  5. Step 5: Solve for x
    x = 100,567,631,376/211,461
  6. Step 6: Final answer
    x = 475,584.77

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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.