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Finding the Third Proportional to 34,680 and 75,804

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Solution

The third proportional to 34,680 and 75,804 is: 165,693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,680 : 75,804 = 75,804 : x
  2. Step 2: Convert to fraction form
    34,680/75,804 = 75,804/x
  3. Step 3: Cross multiply
    34,680x = 75,804 × 75,804
  4. Step 4: Simplify right side
    34,680x = 5,746,246,416
  5. Step 5: Solve for x
    x = 5,746,246,416/34,680
  6. Step 6: Final answer
    x = 165,693.38

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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.