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Finding the Third Proportional to 64,378 and 100,135

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Solution

The third proportional to 64,378 and 100,135 is: 155,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,378 : 100,135 = 100,135 : x
  2. Step 2: Convert to fraction form
    64,378/100,135 = 100,135/x
  3. Step 3: Cross multiply
    64,378x = 100,135 × 100,135
  4. Step 4: Simplify right side
    64,378x = 10,027,018,225
  5. Step 5: Solve for x
    x = 10,027,018,225/64,378
  6. Step 6: Final answer
    x = 155,752.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.