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Finding the Third Proportional to 357,900 and 779,736

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Solution

The third proportional to 357,900 and 779,736 is: 1,698,765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,900 : 779,736 = 779,736 : x
  2. Step 2: Convert to fraction form
    357,900/779,736 = 779,736/x
  3. Step 3: Cross multiply
    357,900x = 779,736 × 779,736
  4. Step 4: Simplify right side
    357,900x = 607,988,229,696
  5. Step 5: Solve for x
    x = 607,988,229,696/357,900
  6. Step 6: Final answer
    x = 1,698,765.66

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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.