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Finding the Third Proportional to 84,503 and 183,603

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Solution

The third proportional to 84,503 and 183,603 is: 398,921.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,503 : 183,603 = 183,603 : x
  2. Step 2: Convert to fraction form
    84,503/183,603 = 183,603/x
  3. Step 3: Cross multiply
    84,503x = 183,603 × 183,603
  4. Step 4: Simplify right side
    84,503x = 33,710,061,609
  5. Step 5: Solve for x
    x = 33,710,061,609/84,503
  6. Step 6: Final answer
    x = 398,921.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.