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Finding the Third Proportional to 69,390 and 163,751

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Solution

The third proportional to 69,390 and 163,751 is: 386,430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,390 : 163,751 = 163,751 : x
  2. Step 2: Convert to fraction form
    69,390/163,751 = 163,751/x
  3. Step 3: Cross multiply
    69,390x = 163,751 × 163,751
  4. Step 4: Simplify right side
    69,390x = 26,814,390,001
  5. Step 5: Solve for x
    x = 26,814,390,001/69,390
  6. Step 6: Final answer
    x = 386,430.18

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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.