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Finding the Third Proportional to 129,304.50 and 198,681.75

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Solution

The third proportional to 129,304.50 and 198,681.75 is: 305,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,304.50 : 198,681.75 = 198,681.75 : x
  2. Step 2: Convert to fraction form
    129,304.50/198,681.75 = 198,681.75/x
  3. Step 3: Cross multiply
    129,304.50x = 198,681.75 × 198,681.75
  4. Step 4: Simplify right side
    129,304.50x = 39,474,437,783.06
  5. Step 5: Solve for x
    x = 39,474,437,783.06/129,304.50
  6. Step 6: Final answer
    x = 305,282.78

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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.