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Finding the Third Proportional to 263,462 and 390,619

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Solution

The third proportional to 263,462 and 390,619 is: 579,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,462 : 390,619 = 390,619 : x
  2. Step 2: Convert to fraction form
    263,462/390,619 = 390,619/x
  3. Step 3: Cross multiply
    263,462x = 390,619 × 390,619
  4. Step 4: Simplify right side
    263,462x = 152,583,203,161
  5. Step 5: Solve for x
    x = 152,583,203,161/263,462
  6. Step 6: Final answer
    x = 579,146.91

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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.