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Finding the Third Proportional to 69,346.13 and 143,818.03

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Solution

The third proportional to 69,346.13 and 143,818.03 is: 298,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,346.13 : 143,818.03 = 143,818.03 : x
  2. Step 2: Convert to fraction form
    69,346.13/143,818.03 = 143,818.03/x
  3. Step 3: Cross multiply
    69,346.13x = 143,818.03 × 143,818.03
  4. Step 4: Simplify right side
    69,346.13x = 20,683,626,112.63
  5. Step 5: Solve for x
    x = 20,683,626,112.63/69,346.13
  6. Step 6: Final answer
    x = 298,266.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.