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Finding the Third Proportional to 424,824.75 and 683,710.88

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Solution

The third proportional to 424,824.75 and 683,710.88 is: 1,100,360.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,824.75 : 683,710.88 = 683,710.88 : x
  2. Step 2: Convert to fraction form
    424,824.75/683,710.88 = 683,710.88/x
  3. Step 3: Cross multiply
    424,824.75x = 683,710.88 × 683,710.88
  4. Step 4: Simplify right side
    424,824.75x = 467,460,560,593.27
  5. Step 5: Solve for x
    x = 467,460,560,593.27/424,824.75
  6. Step 6: Final answer
    x = 1,100,360.94

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.