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Finding the Third Proportional to 236,360 and 518,642

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Solution

The third proportional to 236,360 and 518,642 is: 1,138,050.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,360 : 518,642 = 518,642 : x
  2. Step 2: Convert to fraction form
    236,360/518,642 = 518,642/x
  3. Step 3: Cross multiply
    236,360x = 518,642 × 518,642
  4. Step 4: Simplify right side
    236,360x = 268,989,524,164
  5. Step 5: Solve for x
    x = 268,989,524,164/236,360
  6. Step 6: Final answer
    x = 1,138,050.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.