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Finding the Third Proportional to 774,768 and 1,678,218

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Solution

The third proportional to 774,768 and 1,678,218 is: 3,635,172.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,768 : 1,678,218 = 1,678,218 : x
  2. Step 2: Convert to fraction form
    774,768/1,678,218 = 1,678,218/x
  3. Step 3: Cross multiply
    774,768x = 1,678,218 × 1,678,218
  4. Step 4: Simplify right side
    774,768x = 2,816,415,655,524
  5. Step 5: Solve for x
    x = 2,816,415,655,524/774,768
  6. Step 6: Final answer
    x = 3,635,172.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.