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Finding the Third Proportional to 10,507 and 14,020

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Solution

The third proportional to 10,507 and 14,020 is: 18,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507 : 14,020 = 14,020 : x
  2. Step 2: Convert to fraction form
    10,507/14,020 = 14,020/x
  3. Step 3: Cross multiply
    10,507x = 14,020 × 14,020
  4. Step 4: Simplify right side
    10,507x = 196,560,400
  5. Step 5: Solve for x
    x = 196,560,400/10,507
  6. Step 6: Final answer
    x = 18,707.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.