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Finding the Third Proportional to 340,638.75 and 488,814.75

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Solution

The third proportional to 340,638.75 and 488,814.75 is: 701,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,638.75 : 488,814.75 = 488,814.75 : x
  2. Step 2: Convert to fraction form
    340,638.75/488,814.75 = 488,814.75/x
  3. Step 3: Cross multiply
    340,638.75x = 488,814.75 × 488,814.75
  4. Step 4: Simplify right side
    340,638.75x = 238,939,859,817.56
  5. Step 5: Solve for x
    x = 238,939,859,817.56/340,638.75
  6. Step 6: Final answer
    x = 701,446.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.