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Finding the Third Proportional to 66,896 and 144,352

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Solution

The third proportional to 66,896 and 144,352 is: 311,490.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,896 : 144,352 = 144,352 : x
  2. Step 2: Convert to fraction form
    66,896/144,352 = 144,352/x
  3. Step 3: Cross multiply
    66,896x = 144,352 × 144,352
  4. Step 4: Simplify right side
    66,896x = 20,837,499,904
  5. Step 5: Solve for x
    x = 20,837,499,904/66,896
  6. Step 6: Final answer
    x = 311,490.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.