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Finding the Third Proportional to 120,703.50 and 280,624.50

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Solution

The third proportional to 120,703.50 and 280,624.50 is: 652,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,703.50 : 280,624.50 = 280,624.50 : x
  2. Step 2: Convert to fraction form
    120,703.50/280,624.50 = 280,624.50/x
  3. Step 3: Cross multiply
    120,703.50x = 280,624.50 × 280,624.50
  4. Step 4: Simplify right side
    120,703.50x = 78,750,110,000.25
  5. Step 5: Solve for x
    x = 78,750,110,000.25/120,703.50
  6. Step 6: Final answer
    x = 652,426.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.