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Finding the Third Proportional to 355,872 and 783,045

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Solution

The third proportional to 355,872 and 783,045 is: 1,722,977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,872 : 783,045 = 783,045 : x
  2. Step 2: Convert to fraction form
    355,872/783,045 = 783,045/x
  3. Step 3: Cross multiply
    355,872x = 783,045 × 783,045
  4. Step 4: Simplify right side
    355,872x = 613,159,472,025
  5. Step 5: Solve for x
    x = 613,159,472,025/355,872
  6. Step 6: Final answer
    x = 1,722,977.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.