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Finding the Third Proportional to 280,225 and 446,108.50

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Solution

The third proportional to 280,225 and 446,108.50 is: 710,189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,225 : 446,108.50 = 446,108.50 : x
  2. Step 2: Convert to fraction form
    280,225/446,108.50 = 446,108.50/x
  3. Step 3: Cross multiply
    280,225x = 446,108.50 × 446,108.50
  4. Step 4: Simplify right side
    280,225x = 199,012,793,772.25
  5. Step 5: Solve for x
    x = 199,012,793,772.25/280,225
  6. Step 6: Final answer
    x = 710,189.29

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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.