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Finding the Third Proportional to 289,230.75 and 626,727.38

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Solution

The third proportional to 289,230.75 and 626,727.38 is: 1,358,040.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,230.75 : 626,727.38 = 626,727.38 : x
  2. Step 2: Convert to fraction form
    289,230.75/626,727.38 = 626,727.38/x
  3. Step 3: Cross multiply
    289,230.75x = 626,727.38 × 626,727.38
  4. Step 4: Simplify right side
    289,230.75x = 392,787,202,574.39
  5. Step 5: Solve for x
    x = 392,787,202,574.39/289,230.75
  6. Step 6: Final answer
    x = 1,358,040.95

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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.