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Finding the Third Proportional to 140,775 and 306,337

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Solution

The third proportional to 140,775 and 306,337 is: 666,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,775 : 306,337 = 306,337 : x
  2. Step 2: Convert to fraction form
    140,775/306,337 = 306,337/x
  3. Step 3: Cross multiply
    140,775x = 306,337 × 306,337
  4. Step 4: Simplify right side
    140,775x = 93,842,357,569
  5. Step 5: Solve for x
    x = 93,842,357,569/140,775
  6. Step 6: Final answer
    x = 666,612.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.