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Finding the Third Proportional to 64,314 and 133,478

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Solution

The third proportional to 64,314 and 133,478 is: 277,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,314 : 133,478 = 133,478 : x
  2. Step 2: Convert to fraction form
    64,314/133,478 = 133,478/x
  3. Step 3: Cross multiply
    64,314x = 133,478 × 133,478
  4. Step 4: Simplify right side
    64,314x = 17,816,376,484
  5. Step 5: Solve for x
    x = 17,816,376,484/64,314
  6. Step 6: Final answer
    x = 277,021.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.