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Finding the Third Proportional to 291,880 and 476,556

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Solution

The third proportional to 291,880 and 476,556 is: 778,078.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,880 : 476,556 = 476,556 : x
  2. Step 2: Convert to fraction form
    291,880/476,556 = 476,556/x
  3. Step 3: Cross multiply
    291,880x = 476,556 × 476,556
  4. Step 4: Simplify right side
    291,880x = 227,105,621,136
  5. Step 5: Solve for x
    x = 227,105,621,136/291,880
  6. Step 6: Final answer
    x = 778,078.73

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.