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Finding the Third Proportional to 64,328 and 131,776

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Solution

The third proportional to 64,328 and 131,776 is: 269,943.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,328 : 131,776 = 131,776 : x
  2. Step 2: Convert to fraction form
    64,328/131,776 = 131,776/x
  3. Step 3: Cross multiply
    64,328x = 131,776 × 131,776
  4. Step 4: Simplify right side
    64,328x = 17,364,914,176
  5. Step 5: Solve for x
    x = 17,364,914,176/64,328
  6. Step 6: Final answer
    x = 269,943.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.