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Finding the Third Proportional to 10,428 and 11,964

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Solution

The third proportional to 10,428 and 11,964 is: 13,726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428 : 11,964 = 11,964 : x
  2. Step 2: Convert to fraction form
    10,428/11,964 = 11,964/x
  3. Step 3: Cross multiply
    10,428x = 11,964 × 11,964
  4. Step 4: Simplify right side
    10,428x = 143,137,296
  5. Step 5: Solve for x
    x = 143,137,296/10,428
  6. Step 6: Final answer
    x = 13,726.25

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.