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Finding the Third Proportional to 69,386.50 and 163,742

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Solution

The third proportional to 69,386.50 and 163,742 is: 386,407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,386.50 : 163,742 = 163,742 : x
  2. Step 2: Convert to fraction form
    69,386.50/163,742 = 163,742/x
  3. Step 3: Cross multiply
    69,386.50x = 163,742 × 163,742
  4. Step 4: Simplify right side
    69,386.50x = 26,811,442,564
  5. Step 5: Solve for x
    x = 26,811,442,564/69,386.50
  6. Step 6: Final answer
    x = 386,407.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.