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Finding the Third Proportional to 290,526.75 and 408,403.69

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Solution

The third proportional to 290,526.75 and 408,403.69 is: 574,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,526.75 : 408,403.69 = 408,403.69 : x
  2. Step 2: Convert to fraction form
    290,526.75/408,403.69 = 408,403.69/x
  3. Step 3: Cross multiply
    290,526.75x = 408,403.69 × 408,403.69
  4. Step 4: Simplify right side
    290,526.75x = 166,793,571,963.60
  5. Step 5: Solve for x
    x = 166,793,571,963.60/290,526.75
  6. Step 6: Final answer
    x = 574,107.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.