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Finding the Third Proportional to 356,012 and 777,672

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Solution

The third proportional to 356,012 and 777,672 is: 1,698,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,012 : 777,672 = 777,672 : x
  2. Step 2: Convert to fraction form
    356,012/777,672 = 777,672/x
  3. Step 3: Cross multiply
    356,012x = 777,672 × 777,672
  4. Step 4: Simplify right side
    356,012x = 604,773,739,584
  5. Step 5: Solve for x
    x = 604,773,739,584/356,012
  6. Step 6: Final answer
    x = 1,698,745.38

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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.