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Finding the Third Proportional to 210,974 and 316,503

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Solution

The third proportional to 210,974 and 316,503 is: 474,817.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,974 : 316,503 = 316,503 : x
  2. Step 2: Convert to fraction form
    210,974/316,503 = 316,503/x
  3. Step 3: Cross multiply
    210,974x = 316,503 × 316,503
  4. Step 4: Simplify right side
    210,974x = 100,174,149,009
  5. Step 5: Solve for x
    x = 100,174,149,009/210,974
  6. Step 6: Final answer
    x = 474,817.51

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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.