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Finding the Third Proportional to 10,356 and 14,639

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Solution

The third proportional to 10,356 and 14,639 is: 20,693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356 : 14,639 = 14,639 : x
  2. Step 2: Convert to fraction form
    10,356/14,639 = 14,639/x
  3. Step 3: Cross multiply
    10,356x = 14,639 × 14,639
  4. Step 4: Simplify right side
    10,356x = 214,300,321
  5. Step 5: Solve for x
    x = 214,300,321/10,356
  6. Step 6: Final answer
    x = 20,693.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.