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Finding the Third Proportional to 64,520 and 138,928

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Solution

The third proportional to 64,520 and 138,928 is: 299,147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,520 : 138,928 = 138,928 : x
  2. Step 2: Convert to fraction form
    64,520/138,928 = 138,928/x
  3. Step 3: Cross multiply
    64,520x = 138,928 × 138,928
  4. Step 4: Simplify right side
    64,520x = 19,300,989,184
  5. Step 5: Solve for x
    x = 19,300,989,184/64,520
  6. Step 6: Final answer
    x = 299,147.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.