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Finding the Third Proportional to 270,492 and 389,619

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Solution

The third proportional to 270,492 and 389,619 is: 561,210.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,492 : 389,619 = 389,619 : x
  2. Step 2: Convert to fraction form
    270,492/389,619 = 389,619/x
  3. Step 3: Cross multiply
    270,492x = 389,619 × 389,619
  4. Step 4: Simplify right side
    270,492x = 151,802,965,161
  5. Step 5: Solve for x
    x = 151,802,965,161/270,492
  6. Step 6: Final answer
    x = 561,210.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.