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Finding the Third Proportional to 280,886 and 397,445

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Solution

The third proportional to 280,886 and 397,445 is: 562,372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,886 : 397,445 = 397,445 : x
  2. Step 2: Convert to fraction form
    280,886/397,445 = 397,445/x
  3. Step 3: Cross multiply
    280,886x = 397,445 × 397,445
  4. Step 4: Simplify right side
    280,886x = 157,962,528,025
  5. Step 5: Solve for x
    x = 157,962,528,025/280,886
  6. Step 6: Final answer
    x = 562,372.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.