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Finding the Third Proportional to 644,180 and 1,415,816

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Solution

The third proportional to 644,180 and 1,415,816 is: 3,111,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,180 : 1,415,816 = 1,415,816 : x
  2. Step 2: Convert to fraction form
    644,180/1,415,816 = 1,415,816/x
  3. Step 3: Cross multiply
    644,180x = 1,415,816 × 1,415,816
  4. Step 4: Simplify right side
    644,180x = 2,004,534,945,856
  5. Step 5: Solve for x
    x = 2,004,534,945,856/644,180
  6. Step 6: Final answer
    x = 3,111,762.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.