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Finding the Third Proportional to 290,608 and 437,588

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Solution

The third proportional to 290,608 and 437,588 is: 658,905.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,608 : 437,588 = 437,588 : x
  2. Step 2: Convert to fraction form
    290,608/437,588 = 437,588/x
  3. Step 3: Cross multiply
    290,608x = 437,588 × 437,588
  4. Step 4: Simplify right side
    290,608x = 191,483,257,744
  5. Step 5: Solve for x
    x = 191,483,257,744/290,608
  6. Step 6: Final answer
    x = 658,905.67

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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.