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Finding the Third Proportional to 284,240 and 410,642

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Solution

The third proportional to 284,240 and 410,642 is: 593,255.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,240 : 410,642 = 410,642 : x
  2. Step 2: Convert to fraction form
    284,240/410,642 = 410,642/x
  3. Step 3: Cross multiply
    284,240x = 410,642 × 410,642
  4. Step 4: Simplify right side
    284,240x = 168,626,852,164
  5. Step 5: Solve for x
    x = 168,626,852,164/284,240
  6. Step 6: Final answer
    x = 593,255.18

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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.