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Finding the Third Proportional to 356,000 and 777,644

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Solution

The third proportional to 356,000 and 777,644 is: 1,698,680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,000 : 777,644 = 777,644 : x
  2. Step 2: Convert to fraction form
    356,000/777,644 = 777,644/x
  3. Step 3: Cross multiply
    356,000x = 777,644 × 777,644
  4. Step 4: Simplify right side
    356,000x = 604,730,190,736
  5. Step 5: Solve for x
    x = 604,730,190,736/356,000
  6. Step 6: Final answer
    x = 1,698,680.31

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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.