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Finding the Third Proportional to 118,402 and 254,372

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Solution

The third proportional to 118,402 and 254,372 is: 546,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,402 : 254,372 = 254,372 : x
  2. Step 2: Convert to fraction form
    118,402/254,372 = 254,372/x
  3. Step 3: Cross multiply
    118,402x = 254,372 × 254,372
  4. Step 4: Simplify right side
    118,402x = 64,705,114,384
  5. Step 5: Solve for x
    x = 64,705,114,384/118,402
  6. Step 6: Final answer
    x = 546,486.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.