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Finding the Third Proportional to 774,488 and 1,686,769

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Solution

The third proportional to 774,488 and 1,686,769 is: 3,673,639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,488 : 1,686,769 = 1,686,769 : x
  2. Step 2: Convert to fraction form
    774,488/1,686,769 = 1,686,769/x
  3. Step 3: Cross multiply
    774,488x = 1,686,769 × 1,686,769
  4. Step 4: Simplify right side
    774,488x = 2,845,189,659,361
  5. Step 5: Solve for x
    x = 2,845,189,659,361/774,488
  6. Step 6: Final answer
    x = 3,673,639.44

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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.