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Finding the Third Proportional to 69,266.81 and 149,603.63

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Solution

The third proportional to 69,266.81 and 149,603.63 is: 323,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,266.81 : 149,603.63 = 149,603.63 : x
  2. Step 2: Convert to fraction form
    69,266.81/149,603.63 = 149,603.63/x
  3. Step 3: Cross multiply
    69,266.81x = 149,603.63 × 149,603.63
  4. Step 4: Simplify right side
    69,266.81x = 22,381,244,613.14
  5. Step 5: Solve for x
    x = 22,381,244,613.14/69,266.81
  6. Step 6: Final answer
    x = 323,116.42

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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.