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Finding the Third Proportional to 180,280.69 and 280,254.94

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Solution

The third proportional to 180,280.69 and 280,254.94 is: 435,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,280.69 : 280,254.94 = 280,254.94 : x
  2. Step 2: Convert to fraction form
    180,280.69/280,254.94 = 280,254.94/x
  3. Step 3: Cross multiply
    180,280.69x = 280,254.94 × 280,254.94
  4. Step 4: Simplify right side
    180,280.69x = 78,542,829,993.13
  5. Step 5: Solve for x
    x = 78,542,829,993.13/180,280.69
  6. Step 6: Final answer
    x = 435,669.68

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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.