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Finding the Third Proportional to 51,088 and 76,702

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Solution

The third proportional to 51,088 and 76,702 is: 115,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,088 : 76,702 = 76,702 : x
  2. Step 2: Convert to fraction form
    51,088/76,702 = 76,702/x
  3. Step 3: Cross multiply
    51,088x = 76,702 × 76,702
  4. Step 4: Simplify right side
    51,088x = 5,883,196,804
  5. Step 5: Solve for x
    x = 5,883,196,804/51,088
  6. Step 6: Final answer
    x = 115,158.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.