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Finding the Third Proportional to 405,007.88 and 522,627.75

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Solution

The third proportional to 405,007.88 and 522,627.75 is: 674,406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,007.88 : 522,627.75 = 522,627.75 : x
  2. Step 2: Convert to fraction form
    405,007.88/522,627.75 = 522,627.75/x
  3. Step 3: Cross multiply
    405,007.88x = 522,627.75 × 522,627.75
  4. Step 4: Simplify right side
    405,007.88x = 273,139,765,070.06
  5. Step 5: Solve for x
    x = 273,139,765,070.06/405,007.88
  6. Step 6: Final answer
    x = 674,406.06

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.