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Finding the Third Proportional to 102,969 and 210,955

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Solution

The third proportional to 102,969 and 210,955 is: 432,188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,969 : 210,955 = 210,955 : x
  2. Step 2: Convert to fraction form
    102,969/210,955 = 210,955/x
  3. Step 3: Cross multiply
    102,969x = 210,955 × 210,955
  4. Step 4: Simplify right side
    102,969x = 44,502,012,025
  5. Step 5: Solve for x
    x = 44,502,012,025/102,969
  6. Step 6: Final answer
    x = 432,188.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.