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Finding the Third Proportional to 378,448 and 805,945

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Solution

The third proportional to 378,448 and 805,945 is: 1,716,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,448 : 805,945 = 805,945 : x
  2. Step 2: Convert to fraction form
    378,448/805,945 = 805,945/x
  3. Step 3: Cross multiply
    378,448x = 805,945 × 805,945
  4. Step 4: Simplify right side
    378,448x = 649,547,343,025
  5. Step 5: Solve for x
    x = 649,547,343,025/378,448
  6. Step 6: Final answer
    x = 1,716,345.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.