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Finding the Third Proportional to 291,209 and 445,854

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Solution

The third proportional to 291,209 and 445,854 is: 682,622.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,209 : 445,854 = 445,854 : x
  2. Step 2: Convert to fraction form
    291,209/445,854 = 445,854/x
  3. Step 3: Cross multiply
    291,209x = 445,854 × 445,854
  4. Step 4: Simplify right side
    291,209x = 198,785,789,316
  5. Step 5: Solve for x
    x = 198,785,789,316/291,209
  6. Step 6: Final answer
    x = 682,622.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.