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Finding the Third Proportional to 286,224.75 and 420,584.63

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Solution

The third proportional to 286,224.75 and 420,584.63 is: 618,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,224.75 : 420,584.63 = 420,584.63 : x
  2. Step 2: Convert to fraction form
    286,224.75/420,584.63 = 420,584.63/x
  3. Step 3: Cross multiply
    286,224.75x = 420,584.63 × 420,584.63
  4. Step 4: Simplify right side
    286,224.75x = 176,891,426,786.39
  5. Step 5: Solve for x
    x = 176,891,426,786.39/286,224.75
  6. Step 6: Final answer
    x = 618,015.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.