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Finding the Third Proportional to 210,402 and 317,793

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Solution

The third proportional to 210,402 and 317,793 is: 479,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,402 : 317,793 = 317,793 : x
  2. Step 2: Convert to fraction form
    210,402/317,793 = 317,793/x
  3. Step 3: Cross multiply
    210,402x = 317,793 × 317,793
  4. Step 4: Simplify right side
    210,402x = 100,992,390,849
  5. Step 5: Solve for x
    x = 100,992,390,849/210,402
  6. Step 6: Final answer
    x = 479,997.29

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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.