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Finding the Third Proportional to 65,623 and 143,275

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Solution

The third proportional to 65,623 and 143,275 is: 312,812.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,623 : 143,275 = 143,275 : x
  2. Step 2: Convert to fraction form
    65,623/143,275 = 143,275/x
  3. Step 3: Cross multiply
    65,623x = 143,275 × 143,275
  4. Step 4: Simplify right side
    65,623x = 20,527,725,625
  5. Step 5: Solve for x
    x = 20,527,725,625/65,623
  6. Step 6: Final answer
    x = 312,812.97

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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.