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Finding the Third Proportional to 180,412 and 280,461

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Solution

The third proportional to 180,412 and 280,461 is: 435,993.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,412 : 280,461 = 280,461 : x
  2. Step 2: Convert to fraction form
    180,412/280,461 = 280,461/x
  3. Step 3: Cross multiply
    180,412x = 280,461 × 280,461
  4. Step 4: Simplify right side
    180,412x = 78,658,372,521
  5. Step 5: Solve for x
    x = 78,658,372,521/180,412
  6. Step 6: Final answer
    x = 435,993.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.