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Finding the Third Proportional to 310,869 and 456,105

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Solution

The third proportional to 310,869 and 456,105 is: 669,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,869 : 456,105 = 456,105 : x
  2. Step 2: Convert to fraction form
    310,869/456,105 = 456,105/x
  3. Step 3: Cross multiply
    310,869x = 456,105 × 456,105
  4. Step 4: Simplify right side
    310,869x = 208,031,771,025
  5. Step 5: Solve for x
    x = 208,031,771,025/310,869
  6. Step 6: Final answer
    x = 669,194.33

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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.