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Finding the Third Proportional to 210,208 and 317,496

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Solution

The third proportional to 210,208 and 317,496 is: 479,542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,208 : 317,496 = 317,496 : x
  2. Step 2: Convert to fraction form
    210,208/317,496 = 317,496/x
  3. Step 3: Cross multiply
    210,208x = 317,496 × 317,496
  4. Step 4: Simplify right side
    210,208x = 100,803,710,016
  5. Step 5: Solve for x
    x = 100,803,710,016/210,208
  6. Step 6: Final answer
    x = 479,542.69

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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.