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Finding the Third Proportional to 213,705 and 329,808.75

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Solution

The third proportional to 213,705 and 329,808.75 is: 508,990.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,705 : 329,808.75 = 329,808.75 : x
  2. Step 2: Convert to fraction form
    213,705/329,808.75 = 329,808.75/x
  3. Step 3: Cross multiply
    213,705x = 329,808.75 × 329,808.75
  4. Step 4: Simplify right side
    213,705x = 108,773,811,576.56
  5. Step 5: Solve for x
    x = 108,773,811,576.56/213,705
  6. Step 6: Final answer
    x = 508,990.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.