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Finding the Third Proportional to 286,998.19 and 626,450.20

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Solution

The third proportional to 286,998.19 and 626,450.20 is: 1,367,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,998.19 : 626,450.20 = 626,450.20 : x
  2. Step 2: Convert to fraction form
    286,998.19/626,450.20 = 626,450.20/x
  3. Step 3: Cross multiply
    286,998.19x = 626,450.20 × 626,450.20
  4. Step 4: Simplify right side
    286,998.19x = 392,439,856,995.35
  5. Step 5: Solve for x
    x = 392,439,856,995.35/286,998.19
  6. Step 6: Final answer
    x = 1,367,394.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.