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Finding the Third Proportional to 109,319 and 143,539

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Solution

The third proportional to 109,319 and 143,539 is: 188,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,319 : 143,539 = 143,539 : x
  2. Step 2: Convert to fraction form
    109,319/143,539 = 143,539/x
  3. Step 3: Cross multiply
    109,319x = 143,539 × 143,539
  4. Step 4: Simplify right side
    109,319x = 20,603,444,521
  5. Step 5: Solve for x
    x = 20,603,444,521/109,319
  6. Step 6: Final answer
    x = 188,470.85

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.