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Finding the Third Proportional to 421,975 and 602,993

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Solution

The third proportional to 421,975 and 602,993 is: 861,663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,975 : 602,993 = 602,993 : x
  2. Step 2: Convert to fraction form
    421,975/602,993 = 602,993/x
  3. Step 3: Cross multiply
    421,975x = 602,993 × 602,993
  4. Step 4: Simplify right side
    421,975x = 363,600,558,049
  5. Step 5: Solve for x
    x = 363,600,558,049/421,975
  6. Step 6: Final answer
    x = 861,663.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.