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Finding the Third Proportional to 188,125.88 and 405,641.25

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Solution

The third proportional to 188,125.88 and 405,641.25 is: 874,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,125.88 : 405,641.25 = 405,641.25 : x
  2. Step 2: Convert to fraction form
    188,125.88/405,641.25 = 405,641.25/x
  3. Step 3: Cross multiply
    188,125.88x = 405,641.25 × 405,641.25
  4. Step 4: Simplify right side
    188,125.88x = 164,544,823,701.56
  5. Step 5: Solve for x
    x = 164,544,823,701.56/188,125.88
  6. Step 6: Final answer
    x = 874,652.80

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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.