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Finding the Third Proportional to 162,972 and 251,839.13

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Solution

The third proportional to 162,972 and 251,839.13 is: 389,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,972 : 251,839.13 = 251,839.13 : x
  2. Step 2: Convert to fraction form
    162,972/251,839.13 = 251,839.13/x
  3. Step 3: Cross multiply
    162,972x = 251,839.13 × 251,839.13
  4. Step 4: Simplify right side
    162,972x = 63,422,944,880.77
  5. Step 5: Solve for x
    x = 63,422,944,880.77/162,972
  6. Step 6: Final answer
    x = 389,164.67

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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.