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Finding the Third Proportional to 315,033.75 and 478,392.75

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Solution

The third proportional to 315,033.75 and 478,392.75 is: 726,460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,033.75 : 478,392.75 = 478,392.75 : x
  2. Step 2: Convert to fraction form
    315,033.75/478,392.75 = 478,392.75/x
  3. Step 3: Cross multiply
    315,033.75x = 478,392.75 × 478,392.75
  4. Step 4: Simplify right side
    315,033.75x = 228,859,623,252.56
  5. Step 5: Solve for x
    x = 228,859,623,252.56/315,033.75
  6. Step 6: Final answer
    x = 726,460.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.