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Finding the Third Proportional to 180,632 and 281,290

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Solution

The third proportional to 180,632 and 281,290 is: 438,040.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,632 : 281,290 = 281,290 : x
  2. Step 2: Convert to fraction form
    180,632/281,290 = 281,290/x
  3. Step 3: Cross multiply
    180,632x = 281,290 × 281,290
  4. Step 4: Simplify right side
    180,632x = 79,124,064,100
  5. Step 5: Solve for x
    x = 79,124,064,100/180,632
  6. Step 6: Final answer
    x = 438,040.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.