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Finding the Third Proportional to 155,500.50 and 210,999

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Solution

The third proportional to 155,500.50 and 210,999 is: 286,305.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,500.50 : 210,999 = 210,999 : x
  2. Step 2: Convert to fraction form
    155,500.50/210,999 = 210,999/x
  3. Step 3: Cross multiply
    155,500.50x = 210,999 × 210,999
  4. Step 4: Simplify right side
    155,500.50x = 44,520,578,001
  5. Step 5: Solve for x
    x = 44,520,578,001/155,500.50
  6. Step 6: Final answer
    x = 286,305.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.