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Finding the Third Proportional to 64,752 and 138,720

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Solution

The third proportional to 64,752 and 138,720 is: 297,183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,752 : 138,720 = 138,720 : x
  2. Step 2: Convert to fraction form
    64,752/138,720 = 138,720/x
  3. Step 3: Cross multiply
    64,752x = 138,720 × 138,720
  4. Step 4: Simplify right side
    64,752x = 19,243,238,400
  5. Step 5: Solve for x
    x = 19,243,238,400/64,752
  6. Step 6: Final answer
    x = 297,183.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.