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Finding the Third Proportional to 290,592 and 437,562

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Solution

The third proportional to 290,592 and 437,562 is: 658,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,592 : 437,562 = 437,562 : x
  2. Step 2: Convert to fraction form
    290,592/437,562 = 437,562/x
  3. Step 3: Cross multiply
    290,592x = 437,562 × 437,562
  4. Step 4: Simplify right side
    290,592x = 191,460,503,844
  5. Step 5: Solve for x
    x = 191,460,503,844/290,592
  6. Step 6: Final answer
    x = 658,863.64

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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.