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Finding the Third Proportional to 283,725.75 and 421,569

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Solution

The third proportional to 283,725.75 and 421,569 is: 626,381.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,725.75 : 421,569 = 421,569 : x
  2. Step 2: Convert to fraction form
    283,725.75/421,569 = 421,569/x
  3. Step 3: Cross multiply
    283,725.75x = 421,569 × 421,569
  4. Step 4: Simplify right side
    283,725.75x = 177,720,421,761
  5. Step 5: Solve for x
    x = 177,720,421,761/283,725.75
  6. Step 6: Final answer
    x = 626,381.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.