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Finding the Third Proportional to 181,370 and 377,455

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Solution

The third proportional to 181,370 and 377,455 is: 785,533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,370 : 377,455 = 377,455 : x
  2. Step 2: Convert to fraction form
    181,370/377,455 = 377,455/x
  3. Step 3: Cross multiply
    181,370x = 377,455 × 377,455
  4. Step 4: Simplify right side
    181,370x = 142,472,277,025
  5. Step 5: Solve for x
    x = 142,472,277,025/181,370
  6. Step 6: Final answer
    x = 785,533.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.