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Finding the Third Proportional to 10,402 and 15,989

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Solution

The third proportional to 10,402 and 15,989 is: 24,576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402 : 15,989 = 15,989 : x
  2. Step 2: Convert to fraction form
    10,402/15,989 = 15,989/x
  3. Step 3: Cross multiply
    10,402x = 15,989 × 15,989
  4. Step 4: Simplify right side
    10,402x = 255,648,121
  5. Step 5: Solve for x
    x = 255,648,121/10,402
  6. Step 6: Final answer
    x = 24,576.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.