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Finding the Third Proportional to 216,518 and 340,126

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Solution

The third proportional to 216,518 and 340,126 is: 534,300.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,518 : 340,126 = 340,126 : x
  2. Step 2: Convert to fraction form
    216,518/340,126 = 340,126/x
  3. Step 3: Cross multiply
    216,518x = 340,126 × 340,126
  4. Step 4: Simplify right side
    216,518x = 115,685,695,876
  5. Step 5: Solve for x
    x = 115,685,695,876/216,518
  6. Step 6: Final answer
    x = 534,300.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.