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Finding the Third Proportional to 280,368.50 and 403,008.75

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Solution

The third proportional to 280,368.50 and 403,008.75 is: 579,294.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,368.50 : 403,008.75 = 403,008.75 : x
  2. Step 2: Convert to fraction form
    280,368.50/403,008.75 = 403,008.75/x
  3. Step 3: Cross multiply
    280,368.50x = 403,008.75 × 403,008.75
  4. Step 4: Simplify right side
    280,368.50x = 162,416,052,576.56
  5. Step 5: Solve for x
    x = 162,416,052,576.56/280,368.50
  6. Step 6: Final answer
    x = 579,294.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.