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Finding the Third Proportional to 290,798 and 437,653

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Solution

The third proportional to 290,798 and 437,653 is: 658,670.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,798 : 437,653 = 437,653 : x
  2. Step 2: Convert to fraction form
    290,798/437,653 = 437,653/x
  3. Step 3: Cross multiply
    290,798x = 437,653 × 437,653
  4. Step 4: Simplify right side
    290,798x = 191,540,148,409
  5. Step 5: Solve for x
    x = 191,540,148,409/290,798
  6. Step 6: Final answer
    x = 658,670.79

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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.