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Finding the Third Proportional to 253,201 and 391,932

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Solution

The third proportional to 253,201 and 391,932 is: 606,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,201 : 391,932 = 391,932 : x
  2. Step 2: Convert to fraction form
    253,201/391,932 = 391,932/x
  3. Step 3: Cross multiply
    253,201x = 391,932 × 391,932
  4. Step 4: Simplify right side
    253,201x = 153,610,692,624
  5. Step 5: Solve for x
    x = 153,610,692,624/253,201
  6. Step 6: Final answer
    x = 606,674.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.