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Finding the Third Proportional to 75,516 and 111,085

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Solution

The third proportional to 75,516 and 111,085 is: 163,407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,516 : 111,085 = 111,085 : x
  2. Step 2: Convert to fraction form
    75,516/111,085 = 111,085/x
  3. Step 3: Cross multiply
    75,516x = 111,085 × 111,085
  4. Step 4: Simplify right side
    75,516x = 12,339,877,225
  5. Step 5: Solve for x
    x = 12,339,877,225/75,516
  6. Step 6: Final answer
    x = 163,407.45

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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.