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Finding the Third Proportional to 258,336.75 and 407,314.50

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Solution

The third proportional to 258,336.75 and 407,314.50 is: 642,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,336.75 : 407,314.50 = 407,314.50 : x
  2. Step 2: Convert to fraction form
    258,336.75/407,314.50 = 407,314.50/x
  3. Step 3: Cross multiply
    258,336.75x = 407,314.50 × 407,314.50
  4. Step 4: Simplify right side
    258,336.75x = 165,905,101,910.25
  5. Step 5: Solve for x
    x = 165,905,101,910.25/258,336.75
  6. Step 6: Final answer
    x = 642,204.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.