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Finding the Third Proportional to 7,894.13 and 12,580.31

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Solution

The third proportional to 7,894.13 and 12,580.31 is: 20,048.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.13 : 12,580.31 = 12,580.31 : x
  2. Step 2: Convert to fraction form
    7,894.13/12,580.31 = 12,580.31/x
  3. Step 3: Cross multiply
    7,894.13x = 12,580.31 × 12,580.31
  4. Step 4: Simplify right side
    7,894.13x = 158,264,262.60
  5. Step 5: Solve for x
    x = 158,264,262.60/7,894.13
  6. Step 6: Final answer
    x = 20,048.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.