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Finding the Third Proportional to 136,533 and 213,717

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Solution

The third proportional to 136,533 and 213,717 is: 334,534.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,533 : 213,717 = 213,717 : x
  2. Step 2: Convert to fraction form
    136,533/213,717 = 213,717/x
  3. Step 3: Cross multiply
    136,533x = 213,717 × 213,717
  4. Step 4: Simplify right side
    136,533x = 45,674,956,089
  5. Step 5: Solve for x
    x = 45,674,956,089/136,533
  6. Step 6: Final answer
    x = 334,534.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.