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Finding the Third Proportional to 578,804.75 and 648,002.75

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Solution

The third proportional to 578,804.75 and 648,002.75 is: 725,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,804.75 : 648,002.75 = 648,002.75 : x
  2. Step 2: Convert to fraction form
    578,804.75/648,002.75 = 648,002.75/x
  3. Step 3: Cross multiply
    578,804.75x = 648,002.75 × 648,002.75
  4. Step 4: Simplify right side
    578,804.75x = 419,907,564,007.56
  5. Step 5: Solve for x
    x = 419,907,564,007.56/578,804.75
  6. Step 6: Final answer
    x = 725,473.60

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.