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Finding the Third Proportional to 357,904 and 779,744

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Solution

The third proportional to 357,904 and 779,744 is: 1,698,781.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,904 : 779,744 = 779,744 : x
  2. Step 2: Convert to fraction form
    357,904/779,744 = 779,744/x
  3. Step 3: Cross multiply
    357,904x = 779,744 × 779,744
  4. Step 4: Simplify right side
    357,904x = 608,000,705,536
  5. Step 5: Solve for x
    x = 608,000,705,536/357,904
  6. Step 6: Final answer
    x = 1,698,781.53

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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.