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Finding the Third Proportional to 45,238 and 80,270

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Solution

The third proportional to 45,238 and 80,270 is: 142,430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,238 : 80,270 = 80,270 : x
  2. Step 2: Convert to fraction form
    45,238/80,270 = 80,270/x
  3. Step 3: Cross multiply
    45,238x = 80,270 × 80,270
  4. Step 4: Simplify right side
    45,238x = 6,443,272,900
  5. Step 5: Solve for x
    x = 6,443,272,900/45,238
  6. Step 6: Final answer
    x = 142,430.54

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.