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Finding the Third Proportional to 64,512 and 102,720

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Solution

The third proportional to 64,512 and 102,720 is: 163,557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,512 : 102,720 = 102,720 : x
  2. Step 2: Convert to fraction form
    64,512/102,720 = 102,720/x
  3. Step 3: Cross multiply
    64,512x = 102,720 × 102,720
  4. Step 4: Simplify right side
    64,512x = 10,551,398,400
  5. Step 5: Solve for x
    x = 10,551,398,400/64,512
  6. Step 6: Final answer
    x = 163,557.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.