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Finding the Third Proportional to 65,664 and 143,220

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Solution

The third proportional to 65,664 and 143,220 is: 312,377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,664 : 143,220 = 143,220 : x
  2. Step 2: Convert to fraction form
    65,664/143,220 = 143,220/x
  3. Step 3: Cross multiply
    65,664x = 143,220 × 143,220
  4. Step 4: Simplify right side
    65,664x = 20,511,968,400
  5. Step 5: Solve for x
    x = 20,511,968,400/65,664
  6. Step 6: Final answer
    x = 312,377.69

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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.