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Finding the Third Proportional to 534,721.50 and 778,005

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Solution

The third proportional to 534,721.50 and 778,005 is: 1,131,975.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,721.50 : 778,005 = 778,005 : x
  2. Step 2: Convert to fraction form
    534,721.50/778,005 = 778,005/x
  3. Step 3: Cross multiply
    534,721.50x = 778,005 × 778,005
  4. Step 4: Simplify right side
    534,721.50x = 605,291,780,025
  5. Step 5: Solve for x
    x = 605,291,780,025/534,721.50
  6. Step 6: Final answer
    x = 1,131,975.77

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.