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Finding the Third Proportional to 71,426.81 and 156,864.09

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Solution

The third proportional to 71,426.81 and 156,864.09 is: 344,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,426.81 : 156,864.09 = 156,864.09 : x
  2. Step 2: Convert to fraction form
    71,426.81/156,864.09 = 156,864.09/x
  3. Step 3: Cross multiply
    71,426.81x = 156,864.09 × 156,864.09
  4. Step 4: Simplify right side
    71,426.81x = 24,606,343,908.01
  5. Step 5: Solve for x
    x = 24,606,343,908.01/71,426.81
  6. Step 6: Final answer
    x = 344,497.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.