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Finding the Third Proportional to 290,728 and 649,480

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Solution

The third proportional to 290,728 and 649,480 is: 1,450,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,728 : 649,480 = 649,480 : x
  2. Step 2: Convert to fraction form
    290,728/649,480 = 649,480/x
  3. Step 3: Cross multiply
    290,728x = 649,480 × 649,480
  4. Step 4: Simplify right side
    290,728x = 421,824,270,400
  5. Step 5: Solve for x
    x = 421,824,270,400/290,728
  6. Step 6: Final answer
    x = 1,450,924.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.