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Finding the Third Proportional to 178,914 and 385,855

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Solution

The third proportional to 178,914 and 385,855 is: 832,154.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,914 : 385,855 = 385,855 : x
  2. Step 2: Convert to fraction form
    178,914/385,855 = 385,855/x
  3. Step 3: Cross multiply
    178,914x = 385,855 × 385,855
  4. Step 4: Simplify right side
    178,914x = 148,884,081,025
  5. Step 5: Solve for x
    x = 148,884,081,025/178,914
  6. Step 6: Final answer
    x = 832,154.45

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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.