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Finding the Third Proportional to 315,110.25 and 488,733.75

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Solution

The third proportional to 315,110.25 and 488,733.75 is: 758,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,110.25 : 488,733.75 = 488,733.75 : x
  2. Step 2: Convert to fraction form
    315,110.25/488,733.75 = 488,733.75/x
  3. Step 3: Cross multiply
    315,110.25x = 488,733.75 × 488,733.75
  4. Step 4: Simplify right side
    315,110.25x = 238,860,678,389.06
  5. Step 5: Solve for x
    x = 238,860,678,389.06/315,110.25
  6. Step 6: Final answer
    x = 758,022.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.