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Finding the Third Proportional to 145,120.50 and 209,025

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Solution

The third proportional to 145,120.50 and 209,025 is: 301,070.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,120.50 : 209,025 = 209,025 : x
  2. Step 2: Convert to fraction form
    145,120.50/209,025 = 209,025/x
  3. Step 3: Cross multiply
    145,120.50x = 209,025 × 209,025
  4. Step 4: Simplify right side
    145,120.50x = 43,691,450,625
  5. Step 5: Solve for x
    x = 43,691,450,625/145,120.50
  6. Step 6: Final answer
    x = 301,070.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.