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Finding the Third Proportional to 291,820 and 603,860

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Solution

The third proportional to 291,820 and 603,860 is: 1,249,561.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,820 : 603,860 = 603,860 : x
  2. Step 2: Convert to fraction form
    291,820/603,860 = 603,860/x
  3. Step 3: Cross multiply
    291,820x = 603,860 × 603,860
  4. Step 4: Simplify right side
    291,820x = 364,646,899,600
  5. Step 5: Solve for x
    x = 364,646,899,600/291,820
  6. Step 6: Final answer
    x = 1,249,561.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.