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Finding the Third Proportional to 304,448 and 657,680

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Solution

The third proportional to 304,448 and 657,680 is: 1,420,745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,448 : 657,680 = 657,680 : x
  2. Step 2: Convert to fraction form
    304,448/657,680 = 657,680/x
  3. Step 3: Cross multiply
    304,448x = 657,680 × 657,680
  4. Step 4: Simplify right side
    304,448x = 432,542,982,400
  5. Step 5: Solve for x
    x = 432,542,982,400/304,448
  6. Step 6: Final answer
    x = 1,420,745.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.