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Finding the Third Proportional to 262,896 and 407,944

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Solution

The third proportional to 262,896 and 407,944 is: 633,019.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,896 : 407,944 = 407,944 : x
  2. Step 2: Convert to fraction form
    262,896/407,944 = 407,944/x
  3. Step 3: Cross multiply
    262,896x = 407,944 × 407,944
  4. Step 4: Simplify right side
    262,896x = 166,418,307,136
  5. Step 5: Solve for x
    x = 166,418,307,136/262,896
  6. Step 6: Final answer
    x = 633,019.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.