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Finding the Third Proportional to 317,823 and 471,237

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Solution

The third proportional to 317,823 and 471,237 is: 698,704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,823 : 471,237 = 471,237 : x
  2. Step 2: Convert to fraction form
    317,823/471,237 = 471,237/x
  3. Step 3: Cross multiply
    317,823x = 471,237 × 471,237
  4. Step 4: Simplify right side
    317,823x = 222,064,310,169
  5. Step 5: Solve for x
    x = 222,064,310,169/317,823
  6. Step 6: Final answer
    x = 698,704.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.