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Finding the Third Proportional to 143,052 and 310,686

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Solution

The third proportional to 143,052 and 310,686 is: 674,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,052 : 310,686 = 310,686 : x
  2. Step 2: Convert to fraction form
    143,052/310,686 = 310,686/x
  3. Step 3: Cross multiply
    143,052x = 310,686 × 310,686
  4. Step 4: Simplify right side
    143,052x = 96,525,790,596
  5. Step 5: Solve for x
    x = 96,525,790,596/143,052
  6. Step 6: Final answer
    x = 674,760.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.