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Finding the Third Proportional to 210,960 and 317,336

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Solution

The third proportional to 210,960 and 317,336 is: 477,351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,960 : 317,336 = 317,336 : x
  2. Step 2: Convert to fraction form
    210,960/317,336 = 317,336/x
  3. Step 3: Cross multiply
    210,960x = 317,336 × 317,336
  4. Step 4: Simplify right side
    210,960x = 100,702,136,896
  5. Step 5: Solve for x
    x = 100,702,136,896/210,960
  6. Step 6: Final answer
    x = 477,351.81

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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.