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Finding the Third Proportional to 255,720.38 and 383,580.56

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Solution

The third proportional to 255,720.38 and 383,580.56 is: 575,370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,720.38 : 383,580.56 = 383,580.56 : x
  2. Step 2: Convert to fraction form
    255,720.38/383,580.56 = 383,580.56/x
  3. Step 3: Cross multiply
    255,720.38x = 383,580.56 × 383,580.56
  4. Step 4: Simplify right side
    255,720.38x = 147,134,047,927.82
  5. Step 5: Solve for x
    x = 147,134,047,927.82/255,720.38
  6. Step 6: Final answer
    x = 575,370.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.