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Finding the Third Proportional to 15,428 and 31,950

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Solution

The third proportional to 15,428 and 31,950 is: 66,165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,428 : 31,950 = 31,950 : x
  2. Step 2: Convert to fraction form
    15,428/31,950 = 31,950/x
  3. Step 3: Cross multiply
    15,428x = 31,950 × 31,950
  4. Step 4: Simplify right side
    15,428x = 1,020,802,500
  5. Step 5: Solve for x
    x = 1,020,802,500/15,428
  6. Step 6: Final answer
    x = 66,165.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.