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Finding the Third Proportional to 300,970.69 and 626,852.81

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Solution

The third proportional to 300,970.69 and 626,852.81 is: 1,305,590.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,970.69 : 626,852.81 = 626,852.81 : x
  2. Step 2: Convert to fraction form
    300,970.69/626,852.81 = 626,852.81/x
  3. Step 3: Cross multiply
    300,970.69x = 626,852.81 × 626,852.81
  4. Step 4: Simplify right side
    300,970.69x = 392,944,448,539.16
  5. Step 5: Solve for x
    x = 392,944,448,539.16/300,970.69
  6. Step 6: Final answer
    x = 1,305,590.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.