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Finding the Third Proportional to 304,704 and 646,272

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Solution

The third proportional to 304,704 and 646,272 is: 1,370,731.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,704 : 646,272 = 646,272 : x
  2. Step 2: Convert to fraction form
    304,704/646,272 = 646,272/x
  3. Step 3: Cross multiply
    304,704x = 646,272 × 646,272
  4. Step 4: Simplify right side
    304,704x = 417,667,497,984
  5. Step 5: Solve for x
    x = 417,667,497,984/304,704
  6. Step 6: Final answer
    x = 1,370,731.92

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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.