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Finding the Third Proportional to 236,640 and 513,416

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Solution

The third proportional to 236,640 and 513,416 is: 1,113,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,640 : 513,416 = 513,416 : x
  2. Step 2: Convert to fraction form
    236,640/513,416 = 513,416/x
  3. Step 3: Cross multiply
    236,640x = 513,416 × 513,416
  4. Step 4: Simplify right side
    236,640x = 263,595,989,056
  5. Step 5: Solve for x
    x = 263,595,989,056/236,640
  6. Step 6: Final answer
    x = 1,113,911.38

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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.