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Finding the Third Proportional to 420,816 and 909,024

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Solution

The third proportional to 420,816 and 909,024 is: 1,963,624.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,816 : 909,024 = 909,024 : x
  2. Step 2: Convert to fraction form
    420,816/909,024 = 909,024/x
  3. Step 3: Cross multiply
    420,816x = 909,024 × 909,024
  4. Step 4: Simplify right side
    420,816x = 826,324,632,576
  5. Step 5: Solve for x
    x = 826,324,632,576/420,816
  6. Step 6: Final answer
    x = 1,963,624.56

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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.