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Finding the Third Proportional to 13,854 and 30,402

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Solution

The third proportional to 13,854 and 30,402 is: 66,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854 : 30,402 = 30,402 : x
  2. Step 2: Convert to fraction form
    13,854/30,402 = 30,402/x
  3. Step 3: Cross multiply
    13,854x = 30,402 × 30,402
  4. Step 4: Simplify right side
    13,854x = 924,281,604
  5. Step 5: Solve for x
    x = 924,281,604/13,854
  6. Step 6: Final answer
    x = 66,715.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.