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Finding the Third Proportional to 275,558 and 390,021

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Solution

The third proportional to 275,558 and 390,021 is: 552,030.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,558 : 390,021 = 390,021 : x
  2. Step 2: Convert to fraction form
    275,558/390,021 = 390,021/x
  3. Step 3: Cross multiply
    275,558x = 390,021 × 390,021
  4. Step 4: Simplify right side
    275,558x = 152,116,380,441
  5. Step 5: Solve for x
    x = 152,116,380,441/275,558
  6. Step 6: Final answer
    x = 552,030.35

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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.