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Finding the Third Proportional to 421,224 and 909,888

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Solution

The third proportional to 421,224 and 909,888 is: 1,965,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,224 : 909,888 = 909,888 : x
  2. Step 2: Convert to fraction form
    421,224/909,888 = 909,888/x
  3. Step 3: Cross multiply
    421,224x = 909,888 × 909,888
  4. Step 4: Simplify right side
    421,224x = 827,896,172,544
  5. Step 5: Solve for x
    x = 827,896,172,544/421,224
  6. Step 6: Final answer
    x = 1,965,453.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.