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Finding the Third Proportional to 190,356.75 and 409,421.25

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Solution

The third proportional to 190,356.75 and 409,421.25 is: 880,587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,356.75 : 409,421.25 = 409,421.25 : x
  2. Step 2: Convert to fraction form
    190,356.75/409,421.25 = 409,421.25/x
  3. Step 3: Cross multiply
    190,356.75x = 409,421.25 × 409,421.25
  4. Step 4: Simplify right side
    190,356.75x = 167,625,759,951.56
  5. Step 5: Solve for x
    x = 167,625,759,951.56/190,356.75
  6. Step 6: Final answer
    x = 880,587.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.