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Finding the Third Proportional to 290,603 and 437,579

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Solution

The third proportional to 290,603 and 437,579 is: 658,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,603 : 437,579 = 437,579 : x
  2. Step 2: Convert to fraction form
    290,603/437,579 = 437,579/x
  3. Step 3: Cross multiply
    290,603x = 437,579 × 437,579
  4. Step 4: Simplify right side
    290,603x = 191,475,381,241
  5. Step 5: Solve for x
    x = 191,475,381,241/290,603
  6. Step 6: Final answer
    x = 658,889.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.