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Finding the Third Proportional to 405,608 and 538,284

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Solution

The third proportional to 405,608 and 538,284 is: 714,358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,608 : 538,284 = 538,284 : x
  2. Step 2: Convert to fraction form
    405,608/538,284 = 538,284/x
  3. Step 3: Cross multiply
    405,608x = 538,284 × 538,284
  4. Step 4: Simplify right side
    405,608x = 289,749,664,656
  5. Step 5: Solve for x
    x = 289,749,664,656/405,608
  6. Step 6: Final answer
    x = 714,358.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.