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Finding the Third Proportional to 291,720 and 603,660

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Solution

The third proportional to 291,720 and 603,660 is: 1,249,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,720 : 603,660 = 603,660 : x
  2. Step 2: Convert to fraction form
    291,720/603,660 = 603,660/x
  3. Step 3: Cross multiply
    291,720x = 603,660 × 603,660
  4. Step 4: Simplify right side
    291,720x = 364,405,395,600
  5. Step 5: Solve for x
    x = 364,405,395,600/291,720
  6. Step 6: Final answer
    x = 1,249,161.51

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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.