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Finding the Third Proportional to 11,644 and 14,428

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Solution

The third proportional to 11,644 and 14,428 is: 17,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644 : 14,428 = 14,428 : x
  2. Step 2: Convert to fraction form
    11,644/14,428 = 14,428/x
  3. Step 3: Cross multiply
    11,644x = 14,428 × 14,428
  4. Step 4: Simplify right side
    11,644x = 208,167,184
  5. Step 5: Solve for x
    x = 208,167,184/11,644
  6. Step 6: Final answer
    x = 17,877.64

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.