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Finding the Third Proportional to 258,827.50 and 553,638.25

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Solution

The third proportional to 258,827.50 and 553,638.25 is: 1,184,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,827.50 : 553,638.25 = 553,638.25 : x
  2. Step 2: Convert to fraction form
    258,827.50/553,638.25 = 553,638.25/x
  3. Step 3: Cross multiply
    258,827.50x = 553,638.25 × 553,638.25
  4. Step 4: Simplify right side
    258,827.50x = 306,515,311,863.06
  5. Step 5: Solve for x
    x = 306,515,311,863.06/258,827.50
  6. Step 6: Final answer
    x = 1,184,245.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.