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Finding the Third Proportional to 210,231 and 317,861

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Solution

The third proportional to 210,231 and 317,861 is: 480,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,231 : 317,861 = 317,861 : x
  2. Step 2: Convert to fraction form
    210,231/317,861 = 317,861/x
  3. Step 3: Cross multiply
    210,231x = 317,861 × 317,861
  4. Step 4: Simplify right side
    210,231x = 101,035,615,321
  5. Step 5: Solve for x
    x = 101,035,615,321/210,231
  6. Step 6: Final answer
    x = 480,593.33

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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.