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Finding the Third Proportional to 289,821.38 and 426,336.75

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Solution

The third proportional to 289,821.38 and 426,336.75 is: 627,155.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,821.38 : 426,336.75 = 426,336.75 : x
  2. Step 2: Convert to fraction form
    289,821.38/426,336.75 = 426,336.75/x
  3. Step 3: Cross multiply
    289,821.38x = 426,336.75 × 426,336.75
  4. Step 4: Simplify right side
    289,821.38x = 181,763,024,400.56
  5. Step 5: Solve for x
    x = 181,763,024,400.56/289,821.38
  6. Step 6: Final answer
    x = 627,155.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.