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Finding the Third Proportional to 115,080 and 238,146

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Solution

The third proportional to 115,080 and 238,146 is: 492,818.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,080 : 238,146 = 238,146 : x
  2. Step 2: Convert to fraction form
    115,080/238,146 = 238,146/x
  3. Step 3: Cross multiply
    115,080x = 238,146 × 238,146
  4. Step 4: Simplify right side
    115,080x = 56,713,517,316
  5. Step 5: Solve for x
    x = 56,713,517,316/115,080
  6. Step 6: Final answer
    x = 492,818.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.