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Finding the Third Proportional to 290,738 and 437,835

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Solution

The third proportional to 290,738 and 437,835 is: 659,354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,738 : 437,835 = 437,835 : x
  2. Step 2: Convert to fraction form
    290,738/437,835 = 437,835/x
  3. Step 3: Cross multiply
    290,738x = 437,835 × 437,835
  4. Step 4: Simplify right side
    290,738x = 191,699,487,225
  5. Step 5: Solve for x
    x = 191,699,487,225/290,738
  6. Step 6: Final answer
    x = 659,354.77

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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.