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Finding the Third Proportional to 15,130 and 34,729

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Solution

The third proportional to 15,130 and 34,729 is: 79,716.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,130 : 34,729 = 34,729 : x
  2. Step 2: Convert to fraction form
    15,130/34,729 = 34,729/x
  3. Step 3: Cross multiply
    15,130x = 34,729 × 34,729
  4. Step 4: Simplify right side
    15,130x = 1,206,103,441
  5. Step 5: Solve for x
    x = 1,206,103,441/15,130
  6. Step 6: Final answer
    x = 79,716.02

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.