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Finding the Third Proportional to 280,182 and 420,562

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Solution

The third proportional to 280,182 and 420,562 is: 631,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,182 : 420,562 = 420,562 : x
  2. Step 2: Convert to fraction form
    280,182/420,562 = 420,562/x
  3. Step 3: Cross multiply
    280,182x = 420,562 × 420,562
  4. Step 4: Simplify right side
    280,182x = 176,872,395,844
  5. Step 5: Solve for x
    x = 176,872,395,844/280,182
  6. Step 6: Final answer
    x = 631,276.80

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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.