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Finding the Third Proportional to 304,278 and 477,307

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Solution

The third proportional to 304,278 and 477,307 is: 748,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,278 : 477,307 = 477,307 : x
  2. Step 2: Convert to fraction form
    304,278/477,307 = 477,307/x
  3. Step 3: Cross multiply
    304,278x = 477,307 × 477,307
  4. Step 4: Simplify right side
    304,278x = 227,821,972,249
  5. Step 5: Solve for x
    x = 227,821,972,249/304,278
  6. Step 6: Final answer
    x = 748,729.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.