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Finding the Third Proportional to 310,078 and 669,728

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Solution

The third proportional to 310,078 and 669,728 is: 1,446,525.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,078 : 669,728 = 669,728 : x
  2. Step 2: Convert to fraction form
    310,078/669,728 = 669,728/x
  3. Step 3: Cross multiply
    310,078x = 669,728 × 669,728
  4. Step 4: Simplify right side
    310,078x = 448,535,593,984
  5. Step 5: Solve for x
    x = 448,535,593,984/310,078
  6. Step 6: Final answer
    x = 1,446,525.05

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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.