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Finding the Third Proportional to 176,539.50 and 280,543.50

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Solution

The third proportional to 176,539.50 and 280,543.50 is: 445,818.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,539.50 : 280,543.50 = 280,543.50 : x
  2. Step 2: Convert to fraction form
    176,539.50/280,543.50 = 280,543.50/x
  3. Step 3: Cross multiply
    176,539.50x = 280,543.50 × 280,543.50
  4. Step 4: Simplify right side
    176,539.50x = 78,704,655,392.25
  5. Step 5: Solve for x
    x = 78,704,655,392.25/176,539.50
  6. Step 6: Final answer
    x = 445,818.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.