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Finding the Third Proportional to 177,271 and 388,983

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Solution

The third proportional to 177,271 and 388,983 is: 853,539.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,271 : 388,983 = 388,983 : x
  2. Step 2: Convert to fraction form
    177,271/388,983 = 388,983/x
  3. Step 3: Cross multiply
    177,271x = 388,983 × 388,983
  4. Step 4: Simplify right side
    177,271x = 151,307,774,289
  5. Step 5: Solve for x
    x = 151,307,774,289/177,271
  6. Step 6: Final answer
    x = 853,539.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.