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Finding the Third Proportional to 137,900 and 210,860

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Solution

The third proportional to 137,900 and 210,860 is: 322,421.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,900 : 210,860 = 210,860 : x
  2. Step 2: Convert to fraction form
    137,900/210,860 = 210,860/x
  3. Step 3: Cross multiply
    137,900x = 210,860 × 210,860
  4. Step 4: Simplify right side
    137,900x = 44,461,939,600
  5. Step 5: Solve for x
    x = 44,461,939,600/137,900
  6. Step 6: Final answer
    x = 322,421.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.