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Finding the Third Proportional to 181,072.49 and 390,170.20

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Solution

The third proportional to 181,072.49 and 390,170.20 is: 840,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,072.49 : 390,170.20 = 390,170.20 : x
  2. Step 2: Convert to fraction form
    181,072.49/390,170.20 = 390,170.20/x
  3. Step 3: Cross multiply
    181,072.49x = 390,170.20 × 390,170.20
  4. Step 4: Simplify right side
    181,072.49x = 152,232,782,834.29
  5. Step 5: Solve for x
    x = 152,232,782,834.29/181,072.49
  6. Step 6: Final answer
    x = 840,728.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.