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Finding the Third Proportional to 310,096 and 669,760

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Solution

The third proportional to 310,096 and 669,760 is: 1,446,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,096 : 669,760 = 669,760 : x
  2. Step 2: Convert to fraction form
    310,096/669,760 = 669,760/x
  3. Step 3: Cross multiply
    310,096x = 669,760 × 669,760
  4. Step 4: Simplify right side
    310,096x = 448,578,457,600
  5. Step 5: Solve for x
    x = 448,578,457,600/310,096
  6. Step 6: Final answer
    x = 1,446,579.31

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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.