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Finding the Third Proportional to 98,111.25 and 211,907.81

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Solution

The third proportional to 98,111.25 and 211,907.81 is: 457,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,111.25 : 211,907.81 = 211,907.81 : x
  2. Step 2: Convert to fraction form
    98,111.25/211,907.81 = 211,907.81/x
  3. Step 3: Cross multiply
    98,111.25x = 211,907.81 × 211,907.81
  4. Step 4: Simplify right side
    98,111.25x = 44,904,920,998.54
  5. Step 5: Solve for x
    x = 44,904,920,998.54/98,111.25
  6. Step 6: Final answer
    x = 457,693.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.