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Finding the Third Proportional to 181,276 and 384,560

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Solution

The third proportional to 181,276 and 384,560 is: 815,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,276 : 384,560 = 384,560 : x
  2. Step 2: Convert to fraction form
    181,276/384,560 = 384,560/x
  3. Step 3: Cross multiply
    181,276x = 384,560 × 384,560
  4. Step 4: Simplify right side
    181,276x = 147,886,393,600
  5. Step 5: Solve for x
    x = 147,886,393,600/181,276
  6. Step 6: Final answer
    x = 815,807.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.