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Finding the Third Proportional to 10,428 and 14,013

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Solution

The third proportional to 10,428 and 14,013 is: 18,830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428 : 14,013 = 14,013 : x
  2. Step 2: Convert to fraction form
    10,428/14,013 = 14,013/x
  3. Step 3: Cross multiply
    10,428x = 14,013 × 14,013
  4. Step 4: Simplify right side
    10,428x = 196,364,169
  5. Step 5: Solve for x
    x = 196,364,169/10,428
  6. Step 6: Final answer
    x = 18,830.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.