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Finding the Third Proportional to 51,160 and 108,403

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Solution

The third proportional to 51,160 and 108,403 is: 229,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,160 : 108,403 = 108,403 : x
  2. Step 2: Convert to fraction form
    51,160/108,403 = 108,403/x
  3. Step 3: Cross multiply
    51,160x = 108,403 × 108,403
  4. Step 4: Simplify right side
    51,160x = 11,751,210,409
  5. Step 5: Solve for x
    x = 11,751,210,409/51,160
  6. Step 6: Final answer
    x = 229,695.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.