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Finding the Third Proportional to 7,904 and 13,072

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Solution

The third proportional to 7,904 and 13,072 is: 21,619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904 : 13,072 = 13,072 : x
  2. Step 2: Convert to fraction form
    7,904/13,072 = 13,072/x
  3. Step 3: Cross multiply
    7,904x = 13,072 × 13,072
  4. Step 4: Simplify right side
    7,904x = 170,877,184
  5. Step 5: Solve for x
    x = 170,877,184/7,904
  6. Step 6: Final answer
    x = 21,619.08

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.