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Finding the Third Proportional to 71,431.50 and 104,931.75

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Solution

The third proportional to 71,431.50 and 104,931.75 is: 154,143.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,431.50 : 104,931.75 = 104,931.75 : x
  2. Step 2: Convert to fraction form
    71,431.50/104,931.75 = 104,931.75/x
  3. Step 3: Cross multiply
    71,431.50x = 104,931.75 × 104,931.75
  4. Step 4: Simplify right side
    71,431.50x = 11,010,672,158.06
  5. Step 5: Solve for x
    x = 11,010,672,158.06/71,431.50
  6. Step 6: Final answer
    x = 154,143.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.