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Finding the Third Proportional to 216,530 and 340,146

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Solution

The third proportional to 216,530 and 340,146 is: 534,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,530 : 340,146 = 340,146 : x
  2. Step 2: Convert to fraction form
    216,530/340,146 = 340,146/x
  3. Step 3: Cross multiply
    216,530x = 340,146 × 340,146
  4. Step 4: Simplify right side
    216,530x = 115,699,301,316
  5. Step 5: Solve for x
    x = 115,699,301,316/216,530
  6. Step 6: Final answer
    x = 534,333.82

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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.