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Finding the Third Proportional to 280,327.50 and 658,113.75

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Solution

The third proportional to 280,327.50 and 658,113.75 is: 1,545,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,327.50 : 658,113.75 = 658,113.75 : x
  2. Step 2: Convert to fraction form
    280,327.50/658,113.75 = 658,113.75/x
  3. Step 3: Cross multiply
    280,327.50x = 658,113.75 × 658,113.75
  4. Step 4: Simplify right side
    280,327.50x = 433,113,707,939.06
  5. Step 5: Solve for x
    x = 433,113,707,939.06/280,327.50
  6. Step 6: Final answer
    x = 1,545,027.54

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.