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Finding the Third Proportional to 83,457 and 128,101

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Solution

The third proportional to 83,457 and 128,101 is: 196,626.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,457 : 128,101 = 128,101 : x
  2. Step 2: Convert to fraction form
    83,457/128,101 = 128,101/x
  3. Step 3: Cross multiply
    83,457x = 128,101 × 128,101
  4. Step 4: Simplify right side
    83,457x = 16,409,866,201
  5. Step 5: Solve for x
    x = 16,409,866,201/83,457
  6. Step 6: Final answer
    x = 196,626.60

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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.