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Finding the Third Proportional to 644,546 and 1,382,356

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Solution

The third proportional to 644,546 and 1,382,356 is: 2,964,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,546 : 1,382,356 = 1,382,356 : x
  2. Step 2: Convert to fraction form
    644,546/1,382,356 = 1,382,356/x
  3. Step 3: Cross multiply
    644,546x = 1,382,356 × 1,382,356
  4. Step 4: Simplify right side
    644,546x = 1,910,908,110,736
  5. Step 5: Solve for x
    x = 1,910,908,110,736/644,546
  6. Step 6: Final answer
    x = 2,964,735.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.