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Finding the Third Proportional to 289,205.25 and 626,678.25

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Solution

The third proportional to 289,205.25 and 626,678.25 is: 1,357,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,205.25 : 626,678.25 = 626,678.25 : x
  2. Step 2: Convert to fraction form
    289,205.25/626,678.25 = 626,678.25/x
  3. Step 3: Cross multiply
    289,205.25x = 626,678.25 × 626,678.25
  4. Step 4: Simplify right side
    289,205.25x = 392,725,629,023.06
  5. Step 5: Solve for x
    x = 392,725,629,023.06/289,205.25
  6. Step 6: Final answer
    x = 1,357,947.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.