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Finding the Third Proportional to 378,964 and 818,648

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Solution

The third proportional to 378,964 and 818,648 is: 1,768,464.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,964 : 818,648 = 818,648 : x
  2. Step 2: Convert to fraction form
    378,964/818,648 = 818,648/x
  3. Step 3: Cross multiply
    378,964x = 818,648 × 818,648
  4. Step 4: Simplify right side
    378,964x = 670,184,547,904
  5. Step 5: Solve for x
    x = 670,184,547,904/378,964
  6. Step 6: Final answer
    x = 1,768,464.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.