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Finding the Third Proportional to 177,909 and 390,807

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Solution

The third proportional to 177,909 and 390,807 is: 858,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,909 : 390,807 = 390,807 : x
  2. Step 2: Convert to fraction form
    177,909/390,807 = 390,807/x
  3. Step 3: Cross multiply
    177,909x = 390,807 × 390,807
  4. Step 4: Simplify right side
    177,909x = 152,730,111,249
  5. Step 5: Solve for x
    x = 152,730,111,249/177,909
  6. Step 6: Final answer
    x = 858,473.22

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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.