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Finding the Third Proportional to 69,702 and 105,417

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Solution

The third proportional to 69,702 and 105,417 is: 159,432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,702 : 105,417 = 105,417 : x
  2. Step 2: Convert to fraction form
    69,702/105,417 = 105,417/x
  3. Step 3: Cross multiply
    69,702x = 105,417 × 105,417
  4. Step 4: Simplify right side
    69,702x = 11,112,743,889
  5. Step 5: Solve for x
    x = 11,112,743,889/69,702
  6. Step 6: Final answer
    x = 159,432.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.