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Finding the Third Proportional to 840,685 and 1,179,649

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Solution

The third proportional to 840,685 and 1,179,649 is: 1,655,283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,685 : 1,179,649 = 1,179,649 : x
  2. Step 2: Convert to fraction form
    840,685/1,179,649 = 1,179,649/x
  3. Step 3: Cross multiply
    840,685x = 1,179,649 × 1,179,649
  4. Step 4: Simplify right side
    840,685x = 1,391,571,763,201
  5. Step 5: Solve for x
    x = 1,391,571,763,201/840,685
  6. Step 6: Final answer
    x = 1,655,283.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.