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Finding the Third Proportional to 64,368 and 100,120

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Solution

The third proportional to 64,368 and 100,120 is: 155,729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,368 : 100,120 = 100,120 : x
  2. Step 2: Convert to fraction form
    64,368/100,120 = 100,120/x
  3. Step 3: Cross multiply
    64,368x = 100,120 × 100,120
  4. Step 4: Simplify right side
    64,368x = 10,024,014,400
  5. Step 5: Solve for x
    x = 10,024,014,400/64,368
  6. Step 6: Final answer
    x = 155,729.78

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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.