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Finding the Third Proportional to 502,555.50 and 777,162.75

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Solution

The third proportional to 502,555.50 and 777,162.75 is: 1,201,821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,555.50 : 777,162.75 = 777,162.75 : x
  2. Step 2: Convert to fraction form
    502,555.50/777,162.75 = 777,162.75/x
  3. Step 3: Cross multiply
    502,555.50x = 777,162.75 × 777,162.75
  4. Step 4: Simplify right side
    502,555.50x = 603,981,939,987.56
  5. Step 5: Solve for x
    x = 603,981,939,987.56/502,555.50
  6. Step 6: Final answer
    x = 1,201,821.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.