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Finding the Third Proportional to 64,882.69 and 139,463.44

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Solution

The third proportional to 64,882.69 and 139,463.44 is: 299,772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,882.69 : 139,463.44 = 139,463.44 : x
  2. Step 2: Convert to fraction form
    64,882.69/139,463.44 = 139,463.44/x
  3. Step 3: Cross multiply
    64,882.69x = 139,463.44 × 139,463.44
  4. Step 4: Simplify right side
    64,882.69x = 19,450,050,399.32
  5. Step 5: Solve for x
    x = 19,450,050,399.32/64,882.69
  6. Step 6: Final answer
    x = 299,772.58

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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.