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Finding the Third Proportional to 280,138 and 420,488

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Solution

The third proportional to 280,138 and 420,488 is: 631,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,138 : 420,488 = 420,488 : x
  2. Step 2: Convert to fraction form
    280,138/420,488 = 420,488/x
  3. Step 3: Cross multiply
    280,138x = 420,488 × 420,488
  4. Step 4: Simplify right side
    280,138x = 176,810,158,144
  5. Step 5: Solve for x
    x = 176,810,158,144/280,138
  6. Step 6: Final answer
    x = 631,153.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.