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Finding the Third Proportional to 180,561 and 280,894.50

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Solution

The third proportional to 180,561 and 280,894.50 is: 436,980.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,561 : 280,894.50 = 280,894.50 : x
  2. Step 2: Convert to fraction form
    180,561/280,894.50 = 280,894.50/x
  3. Step 3: Cross multiply
    180,561x = 280,894.50 × 280,894.50
  4. Step 4: Simplify right side
    180,561x = 78,901,720,130.25
  5. Step 5: Solve for x
    x = 78,901,720,130.25/180,561
  6. Step 6: Final answer
    x = 436,980.97

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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.