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Finding the Third Proportional to 256,764 and 377,873

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Solution

The third proportional to 256,764 and 377,873 is: 556,106.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,764 : 377,873 = 377,873 : x
  2. Step 2: Convert to fraction form
    256,764/377,873 = 377,873/x
  3. Step 3: Cross multiply
    256,764x = 377,873 × 377,873
  4. Step 4: Simplify right side
    256,764x = 142,788,004,129
  5. Step 5: Solve for x
    x = 142,788,004,129/256,764
  6. Step 6: Final answer
    x = 556,106.01

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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.