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Finding the Third Proportional to 263,448 and 390,600

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Solution

The third proportional to 263,448 and 390,600 is: 579,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,448 : 390,600 = 390,600 : x
  2. Step 2: Convert to fraction form
    263,448/390,600 = 390,600/x
  3. Step 3: Cross multiply
    263,448x = 390,600 × 390,600
  4. Step 4: Simplify right side
    263,448x = 152,568,360,000
  5. Step 5: Solve for x
    x = 152,568,360,000/263,448
  6. Step 6: Final answer
    x = 579,121.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.