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Finding the Third Proportional to 106,140 and 162,912

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Solution

The third proportional to 106,140 and 162,912 is: 250,050.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,140 : 162,912 = 162,912 : x
  2. Step 2: Convert to fraction form
    106,140/162,912 = 162,912/x
  3. Step 3: Cross multiply
    106,140x = 162,912 × 162,912
  4. Step 4: Simplify right side
    106,140x = 26,540,319,744
  5. Step 5: Solve for x
    x = 26,540,319,744/106,140
  6. Step 6: Final answer
    x = 250,050.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.