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Finding the Third Proportional to 135,972 and 254,808

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Solution

The third proportional to 135,972 and 254,808 is: 477,503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,972 : 254,808 = 254,808 : x
  2. Step 2: Convert to fraction form
    135,972/254,808 = 254,808/x
  3. Step 3: Cross multiply
    135,972x = 254,808 × 254,808
  4. Step 4: Simplify right side
    135,972x = 64,927,116,864
  5. Step 5: Solve for x
    x = 64,927,116,864/135,972
  6. Step 6: Final answer
    x = 477,503.58

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.