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Finding the Third Proportional to 190,690 and 280,527

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Solution

The third proportional to 190,690 and 280,527 is: 412,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,690 : 280,527 = 280,527 : x
  2. Step 2: Convert to fraction form
    190,690/280,527 = 280,527/x
  3. Step 3: Cross multiply
    190,690x = 280,527 × 280,527
  4. Step 4: Simplify right side
    190,690x = 78,695,397,729
  5. Step 5: Solve for x
    x = 78,695,397,729/190,690
  6. Step 6: Final answer
    x = 412,687.60

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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.