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Finding the Third Proportional to 43,785 and 69,342

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Solution

The third proportional to 43,785 and 69,342 is: 109,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,785 : 69,342 = 69,342 : x
  2. Step 2: Convert to fraction form
    43,785/69,342 = 69,342/x
  3. Step 3: Cross multiply
    43,785x = 69,342 × 69,342
  4. Step 4: Simplify right side
    43,785x = 4,808,312,964
  5. Step 5: Solve for x
    x = 4,808,312,964/43,785
  6. Step 6: Final answer
    x = 109,816.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.