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Finding the Third Proportional to 144,203.50 and 309,737

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Solution

The third proportional to 144,203.50 and 309,737 is: 665,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,203.50 : 309,737 = 309,737 : x
  2. Step 2: Convert to fraction form
    144,203.50/309,737 = 309,737/x
  3. Step 3: Cross multiply
    144,203.50x = 309,737 × 309,737
  4. Step 4: Simplify right side
    144,203.50x = 95,937,009,169
  5. Step 5: Solve for x
    x = 95,937,009,169/144,203.50
  6. Step 6: Final answer
    x = 665,289.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.