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Finding the Third Proportional to 287,518.50 and 445,635

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Solution

The third proportional to 287,518.50 and 445,635 is: 690,705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,518.50 : 445,635 = 445,635 : x
  2. Step 2: Convert to fraction form
    287,518.50/445,635 = 445,635/x
  3. Step 3: Cross multiply
    287,518.50x = 445,635 × 445,635
  4. Step 4: Simplify right side
    287,518.50x = 198,590,553,225
  5. Step 5: Solve for x
    x = 198,590,553,225/287,518.50
  6. Step 6: Final answer
    x = 690,705.30

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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.