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Finding the Third Proportional to 190,293.25 and 409,291

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Solution

The third proportional to 190,293.25 and 409,291 is: 880,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,293.25 : 409,291 = 409,291 : x
  2. Step 2: Convert to fraction form
    190,293.25/409,291 = 409,291/x
  3. Step 3: Cross multiply
    190,293.25x = 409,291 × 409,291
  4. Step 4: Simplify right side
    190,293.25x = 167,519,122,681
  5. Step 5: Solve for x
    x = 167,519,122,681/190,293.25
  6. Step 6: Final answer
    x = 880,320.89

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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.