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Finding the Third Proportional to 145,568 and 308,630

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Solution

The third proportional to 145,568 and 308,630 is: 654,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,568 : 308,630 = 308,630 : x
  2. Step 2: Convert to fraction form
    145,568/308,630 = 308,630/x
  3. Step 3: Cross multiply
    145,568x = 308,630 × 308,630
  4. Step 4: Simplify right side
    145,568x = 95,252,476,900
  5. Step 5: Solve for x
    x = 95,252,476,900/145,568
  6. Step 6: Final answer
    x = 654,350.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.