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Finding the Third Proportional to 238,455 and 518,325.75

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Solution

The third proportional to 238,455 and 518,325.75 is: 1,126,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,455 : 518,325.75 = 518,325.75 : x
  2. Step 2: Convert to fraction form
    238,455/518,325.75 = 518,325.75/x
  3. Step 3: Cross multiply
    238,455x = 518,325.75 × 518,325.75
  4. Step 4: Simplify right side
    238,455x = 268,661,583,113.06
  5. Step 5: Solve for x
    x = 268,661,583,113.06/238,455
  6. Step 6: Final answer
    x = 1,126,676.24

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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.