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Finding the Third Proportional to 236,590 and 513,109

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Solution

The third proportional to 236,590 and 513,109 is: 1,112,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,590 : 513,109 = 513,109 : x
  2. Step 2: Convert to fraction form
    236,590/513,109 = 513,109/x
  3. Step 3: Cross multiply
    236,590x = 513,109 × 513,109
  4. Step 4: Simplify right side
    236,590x = 263,280,845,881
  5. Step 5: Solve for x
    x = 263,280,845,881/236,590
  6. Step 6: Final answer
    x = 1,112,814.77

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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.