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Finding the Third Proportional to 190,734 and 280,262

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Solution

The third proportional to 190,734 and 280,262 is: 411,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,734 : 280,262 = 280,262 : x
  2. Step 2: Convert to fraction form
    190,734/280,262 = 280,262/x
  3. Step 3: Cross multiply
    190,734x = 280,262 × 280,262
  4. Step 4: Simplify right side
    190,734x = 78,546,788,644
  5. Step 5: Solve for x
    x = 78,546,788,644/190,734
  6. Step 6: Final answer
    x = 411,813.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.