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Finding the Third Proportional to 144,165 and 309,645

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Solution

The third proportional to 144,165 and 309,645 is: 665,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,165 : 309,645 = 309,645 : x
  2. Step 2: Convert to fraction form
    144,165/309,645 = 309,645/x
  3. Step 3: Cross multiply
    144,165x = 309,645 × 309,645
  4. Step 4: Simplify right side
    144,165x = 95,880,026,025
  5. Step 5: Solve for x
    x = 95,880,026,025/144,165
  6. Step 6: Final answer
    x = 665,071.45

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Why These Related Problems?

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