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Finding the Third Proportional to 68,130 and 105,737

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Solution

The third proportional to 68,130 and 105,737 is: 164,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,130 : 105,737 = 105,737 : x
  2. Step 2: Convert to fraction form
    68,130/105,737 = 105,737/x
  3. Step 3: Cross multiply
    68,130x = 105,737 × 105,737
  4. Step 4: Simplify right side
    68,130x = 11,180,313,169
  5. Step 5: Solve for x
    x = 11,180,313,169/68,130
  6. Step 6: Final answer
    x = 164,102.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.