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Finding the Third Proportional to 55,272 and 118,430

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Solution

The third proportional to 55,272 and 118,430 is: 253,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,272 : 118,430 = 118,430 : x
  2. Step 2: Convert to fraction form
    55,272/118,430 = 118,430/x
  3. Step 3: Cross multiply
    55,272x = 118,430 × 118,430
  4. Step 4: Simplify right side
    55,272x = 14,025,664,900
  5. Step 5: Solve for x
    x = 14,025,664,900/55,272
  6. Step 6: Final answer
    x = 253,757.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.