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Finding the Third Proportional to 259,627.78 and 392,905.69

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Solution

The third proportional to 259,627.78 and 392,905.69 is: 594,600.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,627.78 : 392,905.69 = 392,905.69 : x
  2. Step 2: Convert to fraction form
    259,627.78/392,905.69 = 392,905.69/x
  3. Step 3: Cross multiply
    259,627.78x = 392,905.69 × 392,905.69
  4. Step 4: Simplify right side
    259,627.78x = 154,374,879,269.85
  5. Step 5: Solve for x
    x = 154,374,879,269.85/259,627.78
  6. Step 6: Final answer
    x = 594,600.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.