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Finding the Third Proportional to 210,038 and 318,941

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Solution

The third proportional to 210,038 and 318,941 is: 484,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,038 : 318,941 = 318,941 : x
  2. Step 2: Convert to fraction form
    210,038/318,941 = 318,941/x
  3. Step 3: Cross multiply
    210,038x = 318,941 × 318,941
  4. Step 4: Simplify right side
    210,038x = 101,723,361,481
  5. Step 5: Solve for x
    x = 101,723,361,481/210,038
  6. Step 6: Final answer
    x = 484,309.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.