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Finding the Third Proportional to 65,622 and 143,273

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Solution

The third proportional to 65,622 and 143,273 is: 312,809.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,622 : 143,273 = 143,273 : x
  2. Step 2: Convert to fraction form
    65,622/143,273 = 143,273/x
  3. Step 3: Cross multiply
    65,622x = 143,273 × 143,273
  4. Step 4: Simplify right side
    65,622x = 20,527,152,529
  5. Step 5: Solve for x
    x = 20,527,152,529/65,622
  6. Step 6: Final answer
    x = 312,809.01

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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.