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Finding the Third Proportional to 290,009 and 408,403

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Solution

The third proportional to 290,009 and 408,403 is: 575,130.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,009 : 408,403 = 408,403 : x
  2. Step 2: Convert to fraction form
    290,009/408,403 = 408,403/x
  3. Step 3: Cross multiply
    290,009x = 408,403 × 408,403
  4. Step 4: Simplify right side
    290,009x = 166,793,010,409
  5. Step 5: Solve for x
    x = 166,793,010,409/290,009
  6. Step 6: Final answer
    x = 575,130.46

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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.