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Finding the Third Proportional to 203,709 and 438,623

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Solution

The third proportional to 203,709 and 438,623 is: 944,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,709 : 438,623 = 438,623 : x
  2. Step 2: Convert to fraction form
    203,709/438,623 = 438,623/x
  3. Step 3: Cross multiply
    203,709x = 438,623 × 438,623
  4. Step 4: Simplify right side
    203,709x = 192,390,136,129
  5. Step 5: Solve for x
    x = 192,390,136,129/203,709
  6. Step 6: Final answer
    x = 944,436.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.