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Finding the Third Proportional to 30,072 and 65,904

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Solution

The third proportional to 30,072 and 65,904 is: 144,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,072 : 65,904 = 65,904 : x
  2. Step 2: Convert to fraction form
    30,072/65,904 = 65,904/x
  3. Step 3: Cross multiply
    30,072x = 65,904 × 65,904
  4. Step 4: Simplify right side
    30,072x = 4,343,337,216
  5. Step 5: Solve for x
    x = 4,343,337,216/30,072
  6. Step 6: Final answer
    x = 144,431.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.