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Finding the Third Proportional to 67,630 and 105,130

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Solution

The third proportional to 67,630 and 105,130 is: 163,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,630 : 105,130 = 105,130 : x
  2. Step 2: Convert to fraction form
    67,630/105,130 = 105,130/x
  3. Step 3: Cross multiply
    67,630x = 105,130 × 105,130
  4. Step 4: Simplify right side
    67,630x = 11,052,316,900
  5. Step 5: Solve for x
    x = 11,052,316,900/67,630
  6. Step 6: Final answer
    x = 163,423.29

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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.