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Finding the Third Proportional to 55,672 and 85,272

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Solution

The third proportional to 55,672 and 85,272 is: 130,609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,672 : 85,272 = 85,272 : x
  2. Step 2: Convert to fraction form
    55,672/85,272 = 85,272/x
  3. Step 3: Cross multiply
    55,672x = 85,272 × 85,272
  4. Step 4: Simplify right side
    55,672x = 7,271,313,984
  5. Step 5: Solve for x
    x = 7,271,313,984/55,672
  6. Step 6: Final answer
    x = 130,609.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.