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Finding the Third Proportional to 208,190.25 and 438,129

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Solution

The third proportional to 208,190.25 and 438,129 is: 922,026.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,190.25 : 438,129 = 438,129 : x
  2. Step 2: Convert to fraction form
    208,190.25/438,129 = 438,129/x
  3. Step 3: Cross multiply
    208,190.25x = 438,129 × 438,129
  4. Step 4: Simplify right side
    208,190.25x = 191,957,020,641
  5. Step 5: Solve for x
    x = 191,957,020,641/208,190.25
  6. Step 6: Final answer
    x = 922,026.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.