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Finding the Third Proportional to 64,448 and 101,224

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Solution

The third proportional to 64,448 and 101,224 is: 158,985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,448 : 101,224 = 101,224 : x
  2. Step 2: Convert to fraction form
    64,448/101,224 = 101,224/x
  3. Step 3: Cross multiply
    64,448x = 101,224 × 101,224
  4. Step 4: Simplify right side
    64,448x = 10,246,298,176
  5. Step 5: Solve for x
    x = 10,246,298,176/64,448
  6. Step 6: Final answer
    x = 158,985.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.