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Finding the Third Proportional to 103,956.50 and 160,903

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Solution

The third proportional to 103,956.50 and 160,903 is: 249,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,956.50 : 160,903 = 160,903 : x
  2. Step 2: Convert to fraction form
    103,956.50/160,903 = 160,903/x
  3. Step 3: Cross multiply
    103,956.50x = 160,903 × 160,903
  4. Step 4: Simplify right side
    103,956.50x = 25,889,775,409
  5. Step 5: Solve for x
    x = 25,889,775,409/103,956.50
  6. Step 6: Final answer
    x = 249,044.32

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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.