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Finding the Third Proportional to 422,823 and 579,802.50

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Solution

The third proportional to 422,823 and 579,802.50 is: 795,063.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,823 : 579,802.50 = 579,802.50 : x
  2. Step 2: Convert to fraction form
    422,823/579,802.50 = 579,802.50/x
  3. Step 3: Cross multiply
    422,823x = 579,802.50 × 579,802.50
  4. Step 4: Simplify right side
    422,823x = 336,170,939,006.25
  5. Step 5: Solve for x
    x = 336,170,939,006.25/422,823
  6. Step 6: Final answer
    x = 795,063.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.