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Finding the Third Proportional to 78,106.50 and 161,751.38

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Solution

The third proportional to 78,106.50 and 161,751.38 is: 334,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,106.50 : 161,751.38 = 161,751.38 : x
  2. Step 2: Convert to fraction form
    78,106.50/161,751.38 = 161,751.38/x
  3. Step 3: Cross multiply
    78,106.50x = 161,751.38 × 161,751.38
  4. Step 4: Simplify right side
    78,106.50x = 26,163,507,314.39
  5. Step 5: Solve for x
    x = 26,163,507,314.39/78,106.50
  6. Step 6: Final answer
    x = 334,972.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.