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Finding the Third Proportional to 179,200.13 and 390,999.38

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Solution

The third proportional to 179,200.13 and 390,999.38 is: 853,127.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,200.13 : 390,999.38 = 390,999.38 : x
  2. Step 2: Convert to fraction form
    179,200.13/390,999.38 = 390,999.38/x
  3. Step 3: Cross multiply
    179,200.13x = 390,999.38 × 390,999.38
  4. Step 4: Simplify right side
    179,200.13x = 152,880,511,250.39
  5. Step 5: Solve for x
    x = 152,880,511,250.39/179,200.13
  6. Step 6: Final answer
    x = 853,127.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.