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Finding the Third Proportional to 108,216 and 235,386

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Solution

The third proportional to 108,216 and 235,386 is: 511,999.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,216 : 235,386 = 235,386 : x
  2. Step 2: Convert to fraction form
    108,216/235,386 = 235,386/x
  3. Step 3: Cross multiply
    108,216x = 235,386 × 235,386
  4. Step 4: Simplify right side
    108,216x = 55,406,568,996
  5. Step 5: Solve for x
    x = 55,406,568,996/108,216
  6. Step 6: Final answer
    x = 511,999.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.