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Finding the Third Proportional to 210,200 and 317,482

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Solution

The third proportional to 210,200 and 317,482 is: 479,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,200 : 317,482 = 317,482 : x
  2. Step 2: Convert to fraction form
    210,200/317,482 = 317,482/x
  3. Step 3: Cross multiply
    210,200x = 317,482 × 317,482
  4. Step 4: Simplify right side
    210,200x = 100,794,820,324
  5. Step 5: Solve for x
    x = 100,794,820,324/210,200
  6. Step 6: Final answer
    x = 479,518.65

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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.