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Finding the Third Proportional to 64,546.88 and 138,980.81

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Solution

The third proportional to 64,546.88 and 138,980.81 is: 299,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,546.88 : 138,980.81 = 138,980.81 : x
  2. Step 2: Convert to fraction form
    64,546.88/138,980.81 = 138,980.81/x
  3. Step 3: Cross multiply
    64,546.88x = 138,980.81 × 138,980.81
  4. Step 4: Simplify right side
    64,546.88x = 19,315,666,243.16
  5. Step 5: Solve for x
    x = 19,315,666,243.16/64,546.88
  6. Step 6: Final answer
    x = 299,250.22

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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.