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Finding the Third Proportional to 75,072 and 109,704

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Solution

The third proportional to 75,072 and 109,704 is: 160,312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,072 : 109,704 = 109,704 : x
  2. Step 2: Convert to fraction form
    75,072/109,704 = 109,704/x
  3. Step 3: Cross multiply
    75,072x = 109,704 × 109,704
  4. Step 4: Simplify right side
    75,072x = 12,034,967,616
  5. Step 5: Solve for x
    x = 12,034,967,616/75,072
  6. Step 6: Final answer
    x = 160,312.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.