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Finding the Third Proportional to 129,019.50 and 282,939.75

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Solution

The third proportional to 129,019.50 and 282,939.75 is: 620,486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,019.50 : 282,939.75 = 282,939.75 : x
  2. Step 2: Convert to fraction form
    129,019.50/282,939.75 = 282,939.75/x
  3. Step 3: Cross multiply
    129,019.50x = 282,939.75 × 282,939.75
  4. Step 4: Simplify right side
    129,019.50x = 80,054,902,130.06
  5. Step 5: Solve for x
    x = 80,054,902,130.06/129,019.50
  6. Step 6: Final answer
    x = 620,486.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.