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Finding the Third Proportional to 280,098 and 426,627

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Solution

The third proportional to 280,098 and 426,627 is: 649,810.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,098 : 426,627 = 426,627 : x
  2. Step 2: Convert to fraction form
    280,098/426,627 = 426,627/x
  3. Step 3: Cross multiply
    280,098x = 426,627 × 426,627
  4. Step 4: Simplify right side
    280,098x = 182,010,597,129
  5. Step 5: Solve for x
    x = 182,010,597,129/280,098
  6. Step 6: Final answer
    x = 649,810.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.