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Finding the Third Proportional to 236,930 and 513,172

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Solution

The third proportional to 236,930 and 513,172 is: 1,111,490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,930 : 513,172 = 513,172 : x
  2. Step 2: Convert to fraction form
    236,930/513,172 = 513,172/x
  3. Step 3: Cross multiply
    236,930x = 513,172 × 513,172
  4. Step 4: Simplify right side
    236,930x = 263,345,501,584
  5. Step 5: Solve for x
    x = 263,345,501,584/236,930
  6. Step 6: Final answer
    x = 1,111,490.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.