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Finding the Third Proportional to 195,313.78 and 428,019.19

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Solution

The third proportional to 195,313.78 and 428,019.19 is: 937,980.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,313.78 : 428,019.19 = 428,019.19 : x
  2. Step 2: Convert to fraction form
    195,313.78/428,019.19 = 428,019.19/x
  3. Step 3: Cross multiply
    195,313.78x = 428,019.19 × 428,019.19
  4. Step 4: Simplify right side
    195,313.78x = 183,200,424,868.16
  5. Step 5: Solve for x
    x = 183,200,424,868.16/195,313.78
  6. Step 6: Final answer
    x = 937,980.02

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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.