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Finding the Third Proportional to 210,204 and 317,488

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Solution

The third proportional to 210,204 and 317,488 is: 479,527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,204 : 317,488 = 317,488 : x
  2. Step 2: Convert to fraction form
    210,204/317,488 = 317,488/x
  3. Step 3: Cross multiply
    210,204x = 317,488 × 317,488
  4. Step 4: Simplify right side
    210,204x = 100,798,630,144
  5. Step 5: Solve for x
    x = 100,798,630,144/210,204
  6. Step 6: Final answer
    x = 479,527.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.