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Finding the Third Proportional to 236,490 and 518,968

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Solution

The third proportional to 236,490 and 518,968 is: 1,138,854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,490 : 518,968 = 518,968 : x
  2. Step 2: Convert to fraction form
    236,490/518,968 = 518,968/x
  3. Step 3: Cross multiply
    236,490x = 518,968 × 518,968
  4. Step 4: Simplify right side
    236,490x = 269,327,785,024
  5. Step 5: Solve for x
    x = 269,327,785,024/236,490
  6. Step 6: Final answer
    x = 1,138,854.86

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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.