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Finding the Third Proportional to 180,066 and 386,822

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Solution

The third proportional to 180,066 and 386,822 is: 830,980.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,066 : 386,822 = 386,822 : x
  2. Step 2: Convert to fraction form
    180,066/386,822 = 386,822/x
  3. Step 3: Cross multiply
    180,066x = 386,822 × 386,822
  4. Step 4: Simplify right side
    180,066x = 149,631,259,684
  5. Step 5: Solve for x
    x = 149,631,259,684/180,066
  6. Step 6: Final answer
    x = 830,980.08

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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.