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Finding the Third Proportional to 640,576 and 1,482,760

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Solution

The third proportional to 640,576 and 1,482,760 is: 3,432,187.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,576 : 1,482,760 = 1,482,760 : x
  2. Step 2: Convert to fraction form
    640,576/1,482,760 = 1,482,760/x
  3. Step 3: Cross multiply
    640,576x = 1,482,760 × 1,482,760
  4. Step 4: Simplify right side
    640,576x = 2,198,577,217,600
  5. Step 5: Solve for x
    x = 2,198,577,217,600/640,576
  6. Step 6: Final answer
    x = 3,432,187.93

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.