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Finding the Third Proportional to 841,678 and 1,305,939

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Solution

The third proportional to 841,678 and 1,305,939 is: 2,026,281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,678 : 1,305,939 = 1,305,939 : x
  2. Step 2: Convert to fraction form
    841,678/1,305,939 = 1,305,939/x
  3. Step 3: Cross multiply
    841,678x = 1,305,939 × 1,305,939
  4. Step 4: Simplify right side
    841,678x = 1,705,476,671,721
  5. Step 5: Solve for x
    x = 1,705,476,671,721/841,678
  6. Step 6: Final answer
    x = 2,026,281.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.