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Finding the Third Proportional to 290,787 and 437,637

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Solution

The third proportional to 290,787 and 437,637 is: 658,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,787 : 437,637 = 437,637 : x
  2. Step 2: Convert to fraction form
    290,787/437,637 = 437,637/x
  3. Step 3: Cross multiply
    290,787x = 437,637 × 437,637
  4. Step 4: Simplify right side
    290,787x = 191,526,143,769
  5. Step 5: Solve for x
    x = 191,526,143,769/290,787
  6. Step 6: Final answer
    x = 658,647.55

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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.