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Finding the Third Proportional to 106,083 and 232,578

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Solution

The third proportional to 106,083 and 232,578 is: 509,907.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,083 : 232,578 = 232,578 : x
  2. Step 2: Convert to fraction form
    106,083/232,578 = 232,578/x
  3. Step 3: Cross multiply
    106,083x = 232,578 × 232,578
  4. Step 4: Simplify right side
    106,083x = 54,092,526,084
  5. Step 5: Solve for x
    x = 54,092,526,084/106,083
  6. Step 6: Final answer
    x = 509,907.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.