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Finding the Third Proportional to 64,588.64 and 136,995.05

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Solution

The third proportional to 64,588.64 and 136,995.05 is: 290,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,588.64 : 136,995.05 = 136,995.05 : x
  2. Step 2: Convert to fraction form
    64,588.64/136,995.05 = 136,995.05/x
  3. Step 3: Cross multiply
    64,588.64x = 136,995.05 × 136,995.05
  4. Step 4: Simplify right side
    64,588.64x = 18,767,642,868.28
  5. Step 5: Solve for x
    x = 18,767,642,868.28/64,588.64
  6. Step 6: Final answer
    x = 290,571.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.