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Finding the Third Proportional to 15,290 and 35,729

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Solution

The third proportional to 15,290 and 35,729 is: 83,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,290 : 35,729 = 35,729 : x
  2. Step 2: Convert to fraction form
    15,290/35,729 = 35,729/x
  3. Step 3: Cross multiply
    15,290x = 35,729 × 35,729
  4. Step 4: Simplify right side
    15,290x = 1,276,561,441
  5. Step 5: Solve for x
    x = 1,276,561,441/15,290
  6. Step 6: Final answer
    x = 83,489.96

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.