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Finding the Third Proportional to 36,072 and 77,130

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Solution

The third proportional to 36,072 and 77,130 is: 164,921.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,072 : 77,130 = 77,130 : x
  2. Step 2: Convert to fraction form
    36,072/77,130 = 77,130/x
  3. Step 3: Cross multiply
    36,072x = 77,130 × 77,130
  4. Step 4: Simplify right side
    36,072x = 5,949,036,900
  5. Step 5: Solve for x
    x = 5,949,036,900/36,072
  6. Step 6: Final answer
    x = 164,921.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.