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Finding the Third Proportional to 774,498 and 1,686,787

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Solution

The third proportional to 774,498 and 1,686,787 is: 3,673,670.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,498 : 1,686,787 = 1,686,787 : x
  2. Step 2: Convert to fraction form
    774,498/1,686,787 = 1,686,787/x
  3. Step 3: Cross multiply
    774,498x = 1,686,787 × 1,686,787
  4. Step 4: Simplify right side
    774,498x = 2,845,250,383,369
  5. Step 5: Solve for x
    x = 2,845,250,383,369/774,498
  6. Step 6: Final answer
    x = 3,673,670.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.