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Finding the Third Proportional to 181,177.50 and 390,057

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Solution

The third proportional to 181,177.50 and 390,057 is: 839,753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,177.50 : 390,057 = 390,057 : x
  2. Step 2: Convert to fraction form
    181,177.50/390,057 = 390,057/x
  3. Step 3: Cross multiply
    181,177.50x = 390,057 × 390,057
  4. Step 4: Simplify right side
    181,177.50x = 152,144,463,249
  5. Step 5: Solve for x
    x = 152,144,463,249/181,177.50
  6. Step 6: Final answer
    x = 839,753.63

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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.