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Finding the Third Proportional to 304,818.75 and 474,678

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Solution

The third proportional to 304,818.75 and 474,678 is: 739,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,818.75 : 474,678 = 474,678 : x
  2. Step 2: Convert to fraction form
    304,818.75/474,678 = 474,678/x
  3. Step 3: Cross multiply
    304,818.75x = 474,678 × 474,678
  4. Step 4: Simplify right side
    304,818.75x = 225,319,203,684
  5. Step 5: Solve for x
    x = 225,319,203,684/304,818.75
  6. Step 6: Final answer
    x = 739,190.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.