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Finding the Third Proportional to 78,331.50 and 160,810.88

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Solution

The third proportional to 78,331.50 and 160,810.88 is: 330,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,331.50 : 160,810.88 = 160,810.88 : x
  2. Step 2: Convert to fraction form
    78,331.50/160,810.88 = 160,810.88/x
  3. Step 3: Cross multiply
    78,331.50x = 160,810.88 × 160,810.88
  4. Step 4: Simplify right side
    78,331.50x = 25,860,137,518.27
  5. Step 5: Solve for x
    x = 25,860,137,518.27/78,331.50
  6. Step 6: Final answer
    x = 330,137.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.