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Finding the Third Proportional to 280,188 and 420,342

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Solution

The third proportional to 280,188 and 420,342 is: 630,603.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,188 : 420,342 = 420,342 : x
  2. Step 2: Convert to fraction form
    280,188/420,342 = 420,342/x
  3. Step 3: Cross multiply
    280,188x = 420,342 × 420,342
  4. Step 4: Simplify right side
    280,188x = 176,687,396,964
  5. Step 5: Solve for x
    x = 176,687,396,964/280,188
  6. Step 6: Final answer
    x = 630,603.01

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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.