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Finding the Third Proportional to 117,699.75 and 290,217.75

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Solution

The third proportional to 117,699.75 and 290,217.75 is: 715,603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,699.75 : 290,217.75 = 290,217.75 : x
  2. Step 2: Convert to fraction form
    117,699.75/290,217.75 = 290,217.75/x
  3. Step 3: Cross multiply
    117,699.75x = 290,217.75 × 290,217.75
  4. Step 4: Simplify right side
    117,699.75x = 84,226,342,415.06
  5. Step 5: Solve for x
    x = 84,226,342,415.06/117,699.75
  6. Step 6: Final answer
    x = 715,603.41

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.