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Finding the Third Proportional to 865,923.75 and 1,289,651.63

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Solution

The third proportional to 865,923.75 and 1,289,651.63 is: 1,920,724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,923.75 : 1,289,651.63 = 1,289,651.63 : x
  2. Step 2: Convert to fraction form
    865,923.75/1,289,651.63 = 1,289,651.63/x
  3. Step 3: Cross multiply
    865,923.75x = 1,289,651.63 × 1,289,651.63
  4. Step 4: Simplify right side
    865,923.75x = 1,663,201,313,865.14
  5. Step 5: Solve for x
    x = 1,663,201,313,865.14/865,923.75
  6. Step 6: Final answer
    x = 1,920,724.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.