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Finding the Third Proportional to 78,641.44 and 171,106.88

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Solution

The third proportional to 78,641.44 and 171,106.88 is: 372,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,641.44 : 171,106.88 = 171,106.88 : x
  2. Step 2: Convert to fraction form
    78,641.44/171,106.88 = 171,106.88/x
  3. Step 3: Cross multiply
    78,641.44x = 171,106.88 × 171,106.88
  4. Step 4: Simplify right side
    78,641.44x = 29,277,562,672.27
  5. Step 5: Solve for x
    x = 29,277,562,672.27/78,641.44
  6. Step 6: Final answer
    x = 372,291.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.