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Finding the Third Proportional to 190,567.50 and 280,142.25

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Solution

The third proportional to 190,567.50 and 280,142.25 is: 411,820.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,567.50 : 280,142.25 = 280,142.25 : x
  2. Step 2: Convert to fraction form
    190,567.50/280,142.25 = 280,142.25/x
  3. Step 3: Cross multiply
    190,567.50x = 280,142.25 × 280,142.25
  4. Step 4: Simplify right side
    190,567.50x = 78,479,680,235.06
  5. Step 5: Solve for x
    x = 78,479,680,235.06/190,567.50
  6. Step 6: Final answer
    x = 411,820.90

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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.