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Finding the Third Proportional to 69,840 and 151,576

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Solution

The third proportional to 69,840 and 151,576 is: 328,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,840 : 151,576 = 151,576 : x
  2. Step 2: Convert to fraction form
    69,840/151,576 = 151,576/x
  3. Step 3: Cross multiply
    69,840x = 151,576 × 151,576
  4. Step 4: Simplify right side
    69,840x = 22,975,283,776
  5. Step 5: Solve for x
    x = 22,975,283,776/69,840
  6. Step 6: Final answer
    x = 328,970.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.