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Finding the Third Proportional to 188,269.50 and 407,130

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Solution

The third proportional to 188,269.50 and 407,130 is: 880,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,269.50 : 407,130 = 407,130 : x
  2. Step 2: Convert to fraction form
    188,269.50/407,130 = 407,130/x
  3. Step 3: Cross multiply
    188,269.50x = 407,130 × 407,130
  4. Step 4: Simplify right side
    188,269.50x = 165,754,836,900
  5. Step 5: Solve for x
    x = 165,754,836,900/188,269.50
  6. Step 6: Final answer
    x = 880,412.58

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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.