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Finding the Third Proportional to 134,978 and 214,523

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Solution

The third proportional to 134,978 and 214,523 is: 340,945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,978 : 214,523 = 214,523 : x
  2. Step 2: Convert to fraction form
    134,978/214,523 = 214,523/x
  3. Step 3: Cross multiply
    134,978x = 214,523 × 214,523
  4. Step 4: Simplify right side
    134,978x = 46,020,117,529
  5. Step 5: Solve for x
    x = 46,020,117,529/134,978
  6. Step 6: Final answer
    x = 340,945.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.