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Finding the Third Proportional to 143,768 and 309,344

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Solution

The third proportional to 143,768 and 309,344 is: 665,612.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,768 : 309,344 = 309,344 : x
  2. Step 2: Convert to fraction form
    143,768/309,344 = 309,344/x
  3. Step 3: Cross multiply
    143,768x = 309,344 × 309,344
  4. Step 4: Simplify right side
    143,768x = 95,693,710,336
  5. Step 5: Solve for x
    x = 95,693,710,336/143,768
  6. Step 6: Final answer
    x = 665,612.03

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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.