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Finding the Third Proportional to 108,130 and 232,244

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Solution

The third proportional to 108,130 and 232,244 is: 498,818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,130 : 232,244 = 232,244 : x
  2. Step 2: Convert to fraction form
    108,130/232,244 = 232,244/x
  3. Step 3: Cross multiply
    108,130x = 232,244 × 232,244
  4. Step 4: Simplify right side
    108,130x = 53,937,275,536
  5. Step 5: Solve for x
    x = 53,937,275,536/108,130
  6. Step 6: Final answer
    x = 498,818.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.