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Finding the Third Proportional to 280,012 and 421,458

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Solution

The third proportional to 280,012 and 421,458 is: 634,354.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,012 : 421,458 = 421,458 : x
  2. Step 2: Convert to fraction form
    280,012/421,458 = 421,458/x
  3. Step 3: Cross multiply
    280,012x = 421,458 × 421,458
  4. Step 4: Simplify right side
    280,012x = 177,626,845,764
  5. Step 5: Solve for x
    x = 177,626,845,764/280,012
  6. Step 6: Final answer
    x = 634,354.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.