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Finding the Third Proportional to 134,318.25 and 290,830.50

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Solution

The third proportional to 134,318.25 and 290,830.50 is: 629,716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,318.25 : 290,830.50 = 290,830.50 : x
  2. Step 2: Convert to fraction form
    134,318.25/290,830.50 = 290,830.50/x
  3. Step 3: Cross multiply
    134,318.25x = 290,830.50 × 290,830.50
  4. Step 4: Simplify right side
    134,318.25x = 84,582,379,730.25
  5. Step 5: Solve for x
    x = 84,582,379,730.25/134,318.25
  6. Step 6: Final answer
    x = 629,716.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.