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Finding the Third Proportional to 136,215.84 and 268,938.56

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Solution

The third proportional to 136,215.84 and 268,938.56 is: 530,980.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,215.84 : 268,938.56 = 268,938.56 : x
  2. Step 2: Convert to fraction form
    136,215.84/268,938.56 = 268,938.56/x
  3. Step 3: Cross multiply
    136,215.84x = 268,938.56 × 268,938.56
  4. Step 4: Simplify right side
    136,215.84x = 72,327,950,399.57
  5. Step 5: Solve for x
    x = 72,327,950,399.57/136,215.84
  6. Step 6: Final answer
    x = 530,980.45

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.