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Finding the Third Proportional to 140,766 and 306,318

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Solution

The third proportional to 140,766 and 306,318 is: 666,572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,766 : 306,318 = 306,318 : x
  2. Step 2: Convert to fraction form
    140,766/306,318 = 306,318/x
  3. Step 3: Cross multiply
    140,766x = 306,318 × 306,318
  4. Step 4: Simplify right side
    140,766x = 93,830,717,124
  5. Step 5: Solve for x
    x = 93,830,717,124/140,766
  6. Step 6: Final answer
    x = 666,572.31

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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.