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Finding the Third Proportional to 190,543 and 280,113

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Solution

The third proportional to 190,543 and 280,113 is: 411,787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,543 : 280,113 = 280,113 : x
  2. Step 2: Convert to fraction form
    190,543/280,113 = 280,113/x
  3. Step 3: Cross multiply
    190,543x = 280,113 × 280,113
  4. Step 4: Simplify right side
    190,543x = 78,463,292,769
  5. Step 5: Solve for x
    x = 78,463,292,769/190,543
  6. Step 6: Final answer
    x = 411,787.85

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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.