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Finding the Third Proportional to 178,918.03 and 385,859.11

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Solution

The third proportional to 178,918.03 and 385,859.11 is: 832,153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,918.03 : 385,859.11 = 385,859.11 : x
  2. Step 2: Convert to fraction form
    178,918.03/385,859.11 = 385,859.11/x
  3. Step 3: Cross multiply
    178,918.03x = 385,859.11 × 385,859.11
  4. Step 4: Simplify right side
    178,918.03x = 148,887,252,287.67
  5. Step 5: Solve for x
    x = 148,887,252,287.67/178,918.03
  6. Step 6: Final answer
    x = 832,153.42

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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.