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Finding the Third Proportional to 315,603 and 488,916

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Solution

The third proportional to 315,603 and 488,916 is: 757,403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,603 : 488,916 = 488,916 : x
  2. Step 2: Convert to fraction form
    315,603/488,916 = 488,916/x
  3. Step 3: Cross multiply
    315,603x = 488,916 × 488,916
  4. Step 4: Simplify right side
    315,603x = 239,038,855,056
  5. Step 5: Solve for x
    x = 239,038,855,056/315,603
  6. Step 6: Final answer
    x = 757,403.62

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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.