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Finding the Third Proportional to 51,006 and 84,290

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Solution

The third proportional to 51,006 and 84,290 is: 139,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,006 : 84,290 = 84,290 : x
  2. Step 2: Convert to fraction form
    51,006/84,290 = 84,290/x
  3. Step 3: Cross multiply
    51,006x = 84,290 × 84,290
  4. Step 4: Simplify right side
    51,006x = 7,104,804,100
  5. Step 5: Solve for x
    x = 7,104,804,100/51,006
  6. Step 6: Final answer
    x = 139,293.50

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.