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Finding the Third Proportional to 162,790 and 252,039

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Solution

The third proportional to 162,790 and 252,039 is: 390,218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,790 : 252,039 = 252,039 : x
  2. Step 2: Convert to fraction form
    162,790/252,039 = 252,039/x
  3. Step 3: Cross multiply
    162,790x = 252,039 × 252,039
  4. Step 4: Simplify right side
    162,790x = 63,523,657,521
  5. Step 5: Solve for x
    x = 63,523,657,521/162,790
  6. Step 6: Final answer
    x = 390,218.43

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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.