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Finding the Third Proportional to 357,896 and 779,728

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Solution

The third proportional to 357,896 and 779,728 is: 1,698,749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,896 : 779,728 = 779,728 : x
  2. Step 2: Convert to fraction form
    357,896/779,728 = 779,728/x
  3. Step 3: Cross multiply
    357,896x = 779,728 × 779,728
  4. Step 4: Simplify right side
    357,896x = 607,975,753,984
  5. Step 5: Solve for x
    x = 607,975,753,984/357,896
  6. Step 6: Final answer
    x = 1,698,749.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.