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Finding the Third Proportional to 678,080 and 996,096

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Solution

The third proportional to 678,080 and 996,096 is: 1,463,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,080 : 996,096 = 996,096 : x
  2. Step 2: Convert to fraction form
    678,080/996,096 = 996,096/x
  3. Step 3: Cross multiply
    678,080x = 996,096 × 996,096
  4. Step 4: Simplify right side
    678,080x = 992,207,241,216
  5. Step 5: Solve for x
    x = 992,207,241,216/678,080
  6. Step 6: Final answer
    x = 1,463,259.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.