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Finding the Third Proportional to 210,458 and 315,927

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Solution

The third proportional to 210,458 and 315,927 is: 474,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,458 : 315,927 = 315,927 : x
  2. Step 2: Convert to fraction form
    210,458/315,927 = 315,927/x
  3. Step 3: Cross multiply
    210,458x = 315,927 × 315,927
  4. Step 4: Simplify right side
    210,458x = 99,809,869,329
  5. Step 5: Solve for x
    x = 99,809,869,329/210,458
  6. Step 6: Final answer
    x = 474,250.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.