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Finding the Third Proportional to 210,190 and 317,464

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Solution

The third proportional to 210,190 and 317,464 is: 479,487.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,190 : 317,464 = 317,464 : x
  2. Step 2: Convert to fraction form
    210,190/317,464 = 317,464/x
  3. Step 3: Cross multiply
    210,190x = 317,464 × 317,464
  4. Step 4: Simplify right side
    210,190x = 100,783,391,296
  5. Step 5: Solve for x
    x = 100,783,391,296/210,190
  6. Step 6: Final answer
    x = 479,487.09

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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.