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Finding the Third Proportional to 15,485 and 34,053

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Solution

The third proportional to 15,485 and 34,053 is: 74,885.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,485 : 34,053 = 34,053 : x
  2. Step 2: Convert to fraction form
    15,485/34,053 = 34,053/x
  3. Step 3: Cross multiply
    15,485x = 34,053 × 34,053
  4. Step 4: Simplify right side
    15,485x = 1,159,606,809
  5. Step 5: Solve for x
    x = 1,159,606,809/15,485
  6. Step 6: Final answer
    x = 74,885.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.