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Finding the Third Proportional to 10,356 and 14,409

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Solution

The third proportional to 10,356 and 14,409 is: 20,048.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356 : 14,409 = 14,409 : x
  2. Step 2: Convert to fraction form
    10,356/14,409 = 14,409/x
  3. Step 3: Cross multiply
    10,356x = 14,409 × 14,409
  4. Step 4: Simplify right side
    10,356x = 207,619,281
  5. Step 5: Solve for x
    x = 207,619,281/10,356
  6. Step 6: Final answer
    x = 20,048.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.