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Finding the Third Proportional to 180,052 and 392,503

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Solution

The third proportional to 180,052 and 392,503 is: 855,633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,052 : 392,503 = 392,503 : x
  2. Step 2: Convert to fraction form
    180,052/392,503 = 392,503/x
  3. Step 3: Cross multiply
    180,052x = 392,503 × 392,503
  4. Step 4: Simplify right side
    180,052x = 154,058,605,009
  5. Step 5: Solve for x
    x = 154,058,605,009/180,052
  6. Step 6: Final answer
    x = 855,633.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.