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Finding the Third Proportional to 81,620 and 119,636

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Solution

The third proportional to 81,620 and 119,636 is: 175,358.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,620 : 119,636 = 119,636 : x
  2. Step 2: Convert to fraction form
    81,620/119,636 = 119,636/x
  3. Step 3: Cross multiply
    81,620x = 119,636 × 119,636
  4. Step 4: Simplify right side
    81,620x = 14,312,772,496
  5. Step 5: Solve for x
    x = 14,312,772,496/81,620
  6. Step 6: Final answer
    x = 175,358.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.