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Finding the Third Proportional to 191,978.81 and 258,441.56

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Solution

The third proportional to 191,978.81 and 258,441.56 is: 347,913.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,978.81 : 258,441.56 = 258,441.56 : x
  2. Step 2: Convert to fraction form
    191,978.81/258,441.56 = 258,441.56/x
  3. Step 3: Cross multiply
    191,978.81x = 258,441.56 × 258,441.56
  4. Step 4: Simplify right side
    191,978.81x = 66,792,041,227.44
  5. Step 5: Solve for x
    x = 66,792,041,227.44/191,978.81
  6. Step 6: Final answer
    x = 347,913.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.