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Finding the Third Proportional to 6,402 and 10,629

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Solution

The third proportional to 6,402 and 10,629 is: 17,646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402 : 10,629 = 10,629 : x
  2. Step 2: Convert to fraction form
    6,402/10,629 = 10,629/x
  3. Step 3: Cross multiply
    6,402x = 10,629 × 10,629
  4. Step 4: Simplify right side
    6,402x = 112,975,641
  5. Step 5: Solve for x
    x = 112,975,641/6,402
  6. Step 6: Final answer
    x = 17,646.93

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.