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Finding the Third Proportional to 78,914.25 and 167,684.63

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Solution

The third proportional to 78,914.25 and 167,684.63 is: 356,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,914.25 : 167,684.63 = 167,684.63 : x
  2. Step 2: Convert to fraction form
    78,914.25/167,684.63 = 167,684.63/x
  3. Step 3: Cross multiply
    78,914.25x = 167,684.63 × 167,684.63
  4. Step 4: Simplify right side
    78,914.25x = 28,118,133,461.39
  5. Step 5: Solve for x
    x = 28,118,133,461.39/78,914.25
  6. Step 6: Final answer
    x = 356,312.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.