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Finding the Third Proportional to 275,558 and 390,051

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Solution

The third proportional to 275,558 and 390,051 is: 552,115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,558 : 390,051 = 390,051 : x
  2. Step 2: Convert to fraction form
    275,558/390,051 = 390,051/x
  3. Step 3: Cross multiply
    275,558x = 390,051 × 390,051
  4. Step 4: Simplify right side
    275,558x = 152,139,782,601
  5. Step 5: Solve for x
    x = 152,139,782,601/275,558
  6. Step 6: Final answer
    x = 552,115.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.