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Finding the Third Proportional to 188,813 and 306,730

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Solution

The third proportional to 188,813 and 306,730 is: 498,288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,813 : 306,730 = 306,730 : x
  2. Step 2: Convert to fraction form
    188,813/306,730 = 306,730/x
  3. Step 3: Cross multiply
    188,813x = 306,730 × 306,730
  4. Step 4: Simplify right side
    188,813x = 94,083,292,900
  5. Step 5: Solve for x
    x = 94,083,292,900/188,813
  6. Step 6: Final answer
    x = 498,288.22

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.