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Finding the Third Proportional to 280,311 and 434,864.50

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Solution

The third proportional to 280,311 and 434,864.50 is: 674,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,311 : 434,864.50 = 434,864.50 : x
  2. Step 2: Convert to fraction form
    280,311/434,864.50 = 434,864.50/x
  3. Step 3: Cross multiply
    280,311x = 434,864.50 × 434,864.50
  4. Step 4: Simplify right side
    280,311x = 189,107,133,360.25
  5. Step 5: Solve for x
    x = 189,107,133,360.25/280,311
  6. Step 6: Final answer
    x = 674,633.29

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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.