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Finding the Third Proportional to 356,014 and 777,674

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Solution

The third proportional to 356,014 and 777,674 is: 1,698,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,014 : 777,674 = 777,674 : x
  2. Step 2: Convert to fraction form
    356,014/777,674 = 777,674/x
  3. Step 3: Cross multiply
    356,014x = 777,674 × 777,674
  4. Step 4: Simplify right side
    356,014x = 604,776,850,276
  5. Step 5: Solve for x
    x = 604,776,850,276/356,014
  6. Step 6: Final answer
    x = 1,698,744.57

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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.