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Finding the Third Proportional to 69,634.69 and 155,687.06

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Solution

The third proportional to 69,634.69 and 155,687.06 is: 348,080.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,634.69 : 155,687.06 = 155,687.06 : x
  2. Step 2: Convert to fraction form
    69,634.69/155,687.06 = 155,687.06/x
  3. Step 3: Cross multiply
    69,634.69x = 155,687.06 × 155,687.06
  4. Step 4: Simplify right side
    69,634.69x = 24,238,461,429.88
  5. Step 5: Solve for x
    x = 24,238,461,429.88/69,634.69
  6. Step 6: Final answer
    x = 348,080.28

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.