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Finding the Third Proportional to 304,640 and 476,400

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Solution

The third proportional to 304,640 and 476,400 is: 745,000.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,640 : 476,400 = 476,400 : x
  2. Step 2: Convert to fraction form
    304,640/476,400 = 476,400/x
  3. Step 3: Cross multiply
    304,640x = 476,400 × 476,400
  4. Step 4: Simplify right side
    304,640x = 226,956,960,000
  5. Step 5: Solve for x
    x = 226,956,960,000/304,640
  6. Step 6: Final answer
    x = 745,000.53

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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.