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Finding the Third Proportional to 255,813 and 383,720

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Solution

The third proportional to 255,813 and 383,720 is: 575,580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,813 : 383,720 = 383,720 : x
  2. Step 2: Convert to fraction form
    255,813/383,720 = 383,720/x
  3. Step 3: Cross multiply
    255,813x = 383,720 × 383,720
  4. Step 4: Simplify right side
    255,813x = 147,241,038,400
  5. Step 5: Solve for x
    x = 147,241,038,400/255,813
  6. Step 6: Final answer
    x = 575,580.75

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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.