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Finding the Third Proportional to 331,083 and 512,551.50

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Solution

The third proportional to 331,083 and 512,551.50 is: 793,483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,083 : 512,551.50 = 512,551.50 : x
  2. Step 2: Convert to fraction form
    331,083/512,551.50 = 512,551.50/x
  3. Step 3: Cross multiply
    331,083x = 512,551.50 × 512,551.50
  4. Step 4: Simplify right side
    331,083x = 262,709,040,152.25
  5. Step 5: Solve for x
    x = 262,709,040,152.25/331,083
  6. Step 6: Final answer
    x = 793,483.93

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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.