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Finding the Third Proportional to 71,620 and 154,628

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Solution

The third proportional to 71,620 and 154,628 is: 333,842.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,620 : 154,628 = 154,628 : x
  2. Step 2: Convert to fraction form
    71,620/154,628 = 154,628/x
  3. Step 3: Cross multiply
    71,620x = 154,628 × 154,628
  4. Step 4: Simplify right side
    71,620x = 23,909,818,384
  5. Step 5: Solve for x
    x = 23,909,818,384/71,620
  6. Step 6: Final answer
    x = 333,842.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.