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Finding the Third Proportional to 69,388.17 and 144,230.63

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Solution

The third proportional to 69,388.17 and 144,230.63 is: 299,798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,388.17 : 144,230.63 = 144,230.63 : x
  2. Step 2: Convert to fraction form
    69,388.17/144,230.63 = 144,230.63/x
  3. Step 3: Cross multiply
    69,388.17x = 144,230.63 × 144,230.63
  4. Step 4: Simplify right side
    69,388.17x = 20,802,473,187.89
  5. Step 5: Solve for x
    x = 20,802,473,187.89/69,388.17
  6. Step 6: Final answer
    x = 299,798.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.