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Finding the Third Proportional to 456,432 and 682,128

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Solution

The third proportional to 456,432 and 682,128 is: 1,019,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,432 : 682,128 = 682,128 : x
  2. Step 2: Convert to fraction form
    456,432/682,128 = 682,128/x
  3. Step 3: Cross multiply
    456,432x = 682,128 × 682,128
  4. Step 4: Simplify right side
    456,432x = 465,298,608,384
  5. Step 5: Solve for x
    x = 465,298,608,384/456,432
  6. Step 6: Final answer
    x = 1,019,425.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.