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Finding the Third Proportional to 64,281 and 139,619

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Solution

The third proportional to 64,281 and 139,619 is: 303,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,281 : 139,619 = 139,619 : x
  2. Step 2: Convert to fraction form
    64,281/139,619 = 139,619/x
  3. Step 3: Cross multiply
    64,281x = 139,619 × 139,619
  4. Step 4: Simplify right side
    64,281x = 19,493,465,161
  5. Step 5: Solve for x
    x = 19,493,465,161/64,281
  6. Step 6: Final answer
    x = 303,253.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.