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Finding the Third Proportional to 177,912 and 390,813

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Solution

The third proportional to 177,912 and 390,813 is: 858,485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,912 : 390,813 = 390,813 : x
  2. Step 2: Convert to fraction form
    177,912/390,813 = 390,813/x
  3. Step 3: Cross multiply
    177,912x = 390,813 × 390,813
  4. Step 4: Simplify right side
    177,912x = 152,734,800,969
  5. Step 5: Solve for x
    x = 152,734,800,969/177,912
  6. Step 6: Final answer
    x = 858,485.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.