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Finding the Third Proportional to 263,974 and 358,640

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Solution

The third proportional to 263,974 and 358,640 is: 487,254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,974 : 358,640 = 358,640 : x
  2. Step 2: Convert to fraction form
    263,974/358,640 = 358,640/x
  3. Step 3: Cross multiply
    263,974x = 358,640 × 358,640
  4. Step 4: Simplify right side
    263,974x = 128,622,649,600
  5. Step 5: Solve for x
    x = 128,622,649,600/263,974
  6. Step 6: Final answer
    x = 487,254.99

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.