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Finding the Third Proportional to 102,918 and 153,945

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Solution

The third proportional to 102,918 and 153,945 is: 230,271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,918 : 153,945 = 153,945 : x
  2. Step 2: Convert to fraction form
    102,918/153,945 = 153,945/x
  3. Step 3: Cross multiply
    102,918x = 153,945 × 153,945
  4. Step 4: Simplify right side
    102,918x = 23,699,063,025
  5. Step 5: Solve for x
    x = 23,699,063,025/102,918
  6. Step 6: Final answer
    x = 230,271.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.